The Mathematics of Infectious Diseases
Abstract
Many models for the spread of infectious diseases in populations have been analyzed mathematically and applied to specific diseases. Threshold theorems involving the basic reproduction number $R_{0}$, the contact number $\sigma$, and the replacement number R are reviewed for the classic SIR epidemic and endemic models. Similar results with new expressions for $R_{0}$ are obtained for MSEIR and SEIR endemic models with either continuous age or age groups. Values of $R_{0}$ and $\sigma$ are estimated for various diseases including measles in Niger and pertussis in the United States. Previous models with age structure, heterogeneity, and spatial structure are surveyed.
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Using spectral characterization to identify healthcare-associated infection (HAI) patients for clinical contact precaution Scientific Reports, Vol. 13, No. 1 | 27 September 2023
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Identifying influential nodes in complex networks using a gravity model based on the H-index method Scientific Reports, Vol. 13, No. 1 | 29 September 2023
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Leveraging an epidemic–economic mathematical model to assess human responses to COVID-19 policies and disease progression Scientific Reports, Vol. 13, No. 1 | 8 August 2023
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Endemic characteristics of SARS-CoV-2 infection Scientific Reports, Vol. 13, No. 1 | 8 September 2023
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Non-Parametric Model-Based Estimation of the Effective Reproduction Number for SARS-CoV-2 Algorithms, Vol. 16, No. 12 | 22 November 2023
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Traveling waves for a nonlocal dispersal susceptible–infected–recovered epidemic model with the mass action infection mechanism Mathematical Methods in the Applied Sciences, Vol. 46, No. 18 | 2 August 2023
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A Novel Model for Monkeypox Disease: System Analysis and Optimal Preventive Strategies Iranian Journal of Science, Vol. 47, No. 5-6 | 6 October 2023
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Novel spatial profiles of some diffusive SIS epidemic models Journal of Mathematical Biology, Vol. 87, No. 6 | 6 November 2023
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Estimating effective reproduction number revisited Infectious Disease Modelling, Vol. 8, No. 4 | 1 Dec 2023
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Assessing the impact of contact tracing with an agent-based model for simulating the spread of COVID-19: The Irish experience Healthcare Analytics, Vol. 4 | 1 Dec 2023
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Computational simulation of the COVID-19 epidemic with the SEIR stochastic model Computational and Mathematical Organization Theory, Vol. 29, No. 4 | 30 March 2021
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Rich dynamics of a delayed SIRS epidemic model with two-age structure and logistic growth Advances in Continuous and Discrete Models, Vol. 2023, No. 1 | 8 December 2023
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Mathematical Modeling of Periodic Outbreaks with Waning Immunity: A Possible Long-Term Description of COVID-19 Mathematics, Vol. 11, No. 24 | 11 December 2023
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Epidemiological modeling of Influenza-Like Illness (ILI) transmission in Jakarta, Indonesia through cumulative generating operator on SLIR model Journal of Biosafety and Biosecurity, Vol. 5, No. 4 | 1 Dec 2023
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Environment, public debt, and epidemics Journal of Public Economic Theory, Vol. 25, No. 6 | 27 January 2022
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Incidence rate drive the multiple wave in the COVID-19 pandemic MethodsX, Vol. 11 | 1 Dec 2023
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Criminals and their models - a review of epidemiological models describing criminal behaviour Applied Mathematics and Computation, Vol. 458 | 1 Dec 2023
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Explaining Transmission Rate Variations and Forecasting Epidemic Spread in Multiple Regions with a Semiparametric Mixed Effects SIR Model Biometrics, Vol. 79, No. 4 | 10 July 2023
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Research on Information Dissemination Based on Propensity Index Wireless Personal Communications, Vol. 133, No. 3 | 28 January 2024
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Optimal control analysis on the impact of non-pharmaceutical interventions and vaccination on the dynamics of COVID-19 Results in Control and Optimization, Vol. 13 | 1 Dec 2023
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Analyzing Derived Network Feature Importance to Identify Location Influence in LBSN 2023 Tenth International Conference on Social Networks Analysis, Management and Security (SNAMS) | 21 Nov 2023
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Non-Analytic Behaviour in Large-deviations of the SIR model under the influence of Lockdowns New Journal of Physics | 3 November 2023
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On the firefighter problem with spreading vaccination for maximizing the number of saved nodes: the IP model and LP rounding algorithms Optimization Letters, Vol. 17, No. 8 | 30 December 2022
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Modeling and analysis of novel COVID-19 outbreak under fractal-fractional derivative in Caputo sense with power-law: a case study of Pakistan Modeling Earth Systems and Environment, Vol. 9, No. 4 | 16 March 2023
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Stability and bifurcation analysis of an infectious disease model with different optimal control strategies Mathematics and Computers in Simulation, Vol. 213 | 1 Nov 2023
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Dynamic analysis of modified SEIR epidemic model with time delay in geographical networks Physica A: Statistical Mechanics and its Applications, Vol. 629 | 1 Nov 2023
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A new model of the transmission dynamics of COVID-19 propagation with vaccination and recommended treatments Nonlinear Dynamics, Vol. 111, No. 21 | 27 September 2023
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Research on Emotional Infection of Passengers during the SRtP of a Cruise Ship by Combining an SIR Model and Machine Learning Mathematics, Vol. 11, No. 21 | 27 October 2023
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Effect of vaccination rate in multi-wave compartmental model The European Physical Journal Plus, Vol. 138, No. 11 | 8 November 2023
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Evolutionary Epidemiology Consequences of Trait-Dependent Control of Heterogeneous Parasites The American Naturalist, Vol. 202, No. 5 | 1 Nov 2023
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Unveiling the spread of epidemics involving partial immunity and reinfection: insights from a time-delayed mathematical model The European Physical Journal Special Topics, Vol. 232, No. 14-15 | 22 September 2023
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Epidemic spreading on coupling network with higher-order information layer New Journal of Physics, Vol. 25, No. 11 | 28 November 2023
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Coupling media coverage and susceptibility for modeling epidemic dynamics: An application to COVID-19 Mathematics and Computers in Simulation, Vol. 85 | 1 Nov 2023
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A research of a strategy to balance the importance and dispersion of multiple critical nodes Europhysics Letters, Vol. 144, No. 4 | 13 December 2023
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An integrated optimization control model of combining epidemic and production–inventory models and its numerical simulations Communications in Nonlinear Science and Numerical Simulation, Vol. 126 | 1 Nov 2023
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Spread and control of medical rumors in a social network: A generalized diffusion model with a highly asymmetric network structure Production and Operations Management, Vol. 32, No. 11 | 1 November 2023
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Contagion and supervision of liquidity crisis in interbank markets: Based on the SIS network model Physica A: Statistical Mechanics and its Applications, Vol. 629 | 1 Nov 2023
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Modeling and bifurcation analysis of tuberculosis with the multidrug-resistant compartment incorporating chemoprophylaxis treatment Frontiers in Applied Mathematics and Statistics, Vol. 9 | 31 October 2023
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Emergence of a reversed backward bifurcation, reversed hysteresis effect, and backward bifurcation phenomenon in a COVID‐19 mathematical model Mathematical Methods in the Applied Sciences, Vol. 12 | 31 October 2023
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Constructing COVID-19 Pandemic Prediction Models Using Positivity Rate 2023 Computer Applications & Technological Solutions (CATS) | 29 Oct 2023
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The Stability of the SAIR Infectious Disease Model on Community Networks 2023 16th International Congress on Image and Signal Processing, BioMedical Engineering and Informatics (CISP-BMEI) | 28 Oct 2023
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Mathematical analysis of the transmission dynamics of viral infection with effective control policies via fractional derivative Nonlinear Engineering, Vol. 12, No. 1 | 27 October 2023
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STC+K: A Semi-Global Triangular and Degree Centrality Method to Identify Influential Spreaders in Complex Networks 2023 IEEE International Conference on Web Intelligence and Intelligent Agent Technology (WI-IAT) | 26 Oct 2023
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Modeling opinion polarization on social media: Application to Covid-19 vaccination hesitancy in Italy PLOS ONE, Vol. 18, No. 10 | 2 October 2023
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A class of anomalous diffusion epidemic models based on CTRW and distributed delay International Journal of Biomathematics, Vol. 16, No. 07 | 24 December 2022
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Differentially Private Kalman Filtering With Signal Aggregation IEEE Transactions on Automatic Control, Vol. 68, No. 10 | 1 Oct 2023
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A perturbative approach to the analysis of many-compartment models characterized by the presence of waning immunity Journal of Mathematical Biology, Vol. 87, No. 4 | 21 September 2023
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On Stability of a Fractional Discrete Reaction–Diffusion Epidemic Model Fractal and Fractional, Vol. 7, No. 10 | 2 October 2023
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From localized to well mixed: How commuter interactions shape disease spread Physical Review E, Vol. 108, No. 4 | 11 October 2023
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Polynomial ergodicity of an SIRS epidemic model with density‐dependent demographics Studies in Applied Mathematics, Vol. 151, No. 3 | 18 July 2023
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MCD: A modified community diversity approach for detecting influential nodes in social networks Journal of Intelligent Information Systems, Vol. 61, No. 2 | 26 January 2023
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A reliable stochastic computational procedure to solve the mathematical robotic model Expert Systems with Applications, Vol. 496 | 1 Oct 2023
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Modeling the XBB strain of SARS-CoV-2: Competition between variants and impact of reinfection Journal of Theoretical Biology, Vol. 574 | 1 Oct 2023
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Stability analysis of an epidemic model with vaccination and time delay Mathematical Methods in the Applied Sciences, Vol. 46, No. 14 | 19 May 2023
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ATTAINABLE SETS OF INTEGRAL CONSTRAINED SEIR CONTROL SYSTEM WITH NONLINEAR INCIDENCE Journal of Scientific Reports-A, No. 054 | 30 September 2023
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Angular reproduction numbers improve estimates of transmissibility when disease generation times are misspecified or time-varying Proceedings of the Royal Society B: Biological Sciences, Vol. 290, No. 2007 | 27 September 2023
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The influence coverage optimization problem IISE Transactions, Vol. 411 | 25 September 2023
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Dynamics of a modified Leslie–Gower Holling-type II eco-epidemiological model on time scales Applicable Analysis | 21 September 2023
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Stability and sensitivity analysis of the epidemiological model Be-CoDiS predicting the spread of human diseases between countries Electronic Journal of Differential Equations, Vol. 2020, No. 01-132 | 18 June 2020
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Traveling waves for a diffusive virus infection model with humoral immunity, cell‐to‐cell transmission, and nonlinear incidence Mathematical Methods in the Applied Sciences, Vol. 46, No. 13 | 13 April 2023
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Time fused coefficient SIR model with application to COVID-19 epidemic in the United States Journal of Applied Statistics, Vol. 50, No. 11-12 | 4 June 2021
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Modeling the heterogeneity in COVID-19's reproductive number and its impact on predictive scenarios Journal of Applied Statistics, Vol. 50, No. 11-12 | 22 June 2021
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Examining the Relationship Between Infection Power Rate and the Critical Threshold in Stochastic SIS Epidemic Modeling WSEAS TRANSACTIONS ON BIOLOGY AND BIOMEDICINE, Vol. 20 | 7 September 2023
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ISS with respect to unrestricted population perturbations in semi-global control of SIQR 2023 62nd Annual Conference of the Society of Instrument and Control Engineers (SICE) | 6 Sep 2023
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Scale-free dynamics of COVID-19 in a Brazilian city Applied Mathematical Modelling, Vol. 121 | 1 Sep 2023
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SIR Model with Vaccination: Bifurcation Analysis Qualitative Theory of Dynamical Systems, Vol. 22, No. 3 | 17 May 2023
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Influence of Human Behavior on COVID-19 Dynamics Based on a Reaction–Diffusion Model Qualitative Theory of Dynamical Systems, Vol. 22, No. 3 | 2 June 2023
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Hot topics with decaying attention in social networks: Modeling and analysis of message spreading Physica A: Statistical Mechanics and its Applications, Vol. 625 | 1 Sep 2023
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The effect of non-pharmaceutical interventions on COVID-19 outcomes: A heterogeneous age-related generalisation of the SEIR model Infectious Disease Modelling, Vol. 8, No. 3 | 1 Sep 2023
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Social Pressure from a Core Group can Cause Self-Sustained Oscillations in an Epidemic Model Acta Biotheoretica, Vol. 71, No. 3 | 22 June 2023
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Controlling COVID-19 Spreading: A Three-Level Algorithm Mathematics, Vol. 11, No. 17 | 1 September 2023
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Dynamics of Persistent Epidemic and Optimal Control of Vaccination Mathematics, Vol. 11, No. 17 | 2 September 2023
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HRL4EC: Hierarchical reinforcement learning for multi-mode epidemic control Information Sciences, Vol. 640 | 1 Sep 2023
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SIRC epidemic model with cross-immunity and multiple time delays Journal of Mathematical Biology, Vol. 87, No. 3 | 12 August 2023
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Identifying multiple influential spreaders in complex networks based on spectral graph theory Chinese Physics B, Vol. 32, No. 9 | 1 Sep 2023
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Finite-time stability analysis and control of stochastic SIR epidemic model: A study of COVID-19 Biomedical Signal Processing and Control, Vol. 86 | 1 Sep 2023
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Epidemic Waves in a Stochastic SIRVI Epidemic Model Incorporating the Ornstein–Uhlenbeck Process Mathematics, Vol. 11, No. 18 | 11 September 2023
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Identification of Influential Nodes in Complex Networks With Degree and Average Neighbor Degree IEEE Journal on Emerging and Selected Topics in Circuits and Systems, Vol. 13, No. 3 | 1 Sep 2023
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Fractal and fractional SIS model for syphilis data Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 33, No. 9 | 15 September 2023
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Dynamical behavior mechanism in the network of interaction between group behavior and virus propagation Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 33, No. 9 | 25 September 2023
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Different strategies for diabetes by mathematical modeling: Applications of fractal–fractional derivatives in the sense of Atangana–Baleanu Results in Physics, Vol. 52 | 1 Sep 2023
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On epidemic spreading in metapopulation networks with time-varying contact patterns Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 33, No. 9 | 27 September 2023
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A novel queue-based stochastic epidemic model with adaptive stabilising control ISA Transactions, Vol. 140 | 1 Sep 2023
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A nonlinear relapse model with disaggregated contact rates: Analysis of a forward-backward bifurcation Infectious Disease Modelling, Vol. 8, No. 3 | 1 Sep 2023
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A simulation of undiagnosed population and excess mortality during the COVID-19 pandemic Results in Control and Optimization, Vol. 12 | 1 Sep 2023
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Macroepidemics and unconventional monetary policy Economic Modelling, Vol. 126 | 1 Sep 2023
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The reinfection threshold, revisited Mathematical Biosciences, Vol. 363 | 1 Sep 2023
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Hopf bifurcation in a networked delay SIR epidemic model Journal of Mathematical Analysis and Applications, Vol. 525, No. 1 | 1 Sep 2023
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Modeling criminal careers of different levels of offence Applied Mathematics and Computation, Vol. 453 | 1 Sep 2023
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Population heterogeneity in vaccine coverage impacts epidemic thresholds and bifurcation dynamics Heliyon, Vol. 9, No. 9 | 1 Sep 2023
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Ecoepidemiological Model and Optimal Control Analysis of Tomato Yellow Leaf Curl Virus Disease in Tomato Plant Journal of Applied Mathematics, Vol. 2023 | 16 Aug 2023
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Assessment of transmissibility and measures effectiveness of SARS in 8 regions, China, 2002-2003 Frontiers in Cellular and Infection Microbiology, Vol. 13 | 10 August 2023
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A look at endemic equilibria of compartmental epidemiological models and model control via vaccination and mitigation Mathematics of Control, Signals, and Systems, Vol. 2 | 9 August 2023
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Piecewise Smooth Models of Pumping a Child's Swing SIAM Review, Vol. 65, No. 3 | 8 August 2023
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Computational aspects of the approximate analytic solutions of the SIR model: applications to modelling of COVID-19 outbreaks Nonlinear Dynamics, Vol. 111, No. 16 | 1 July 2023
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A highly accurate peak time formula of epidemic outbreak from the SIR model Chinese Journal of Physics, Vol. 84 | 1 Aug 2023
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Neuro-Evolutionary Computing Paradigm for the SIR Model Based on Infection Spread and Treatment Neural Processing Letters, Vol. 55, No. 4 | 8 October 2022
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Efficient simulations of epidemic models with tensor networks: Application to the one-dimensional susceptible-infected-susceptible model Physical Review E, Vol. 108, No. 2 | 8 August 2023
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Mathematical Modeling of Toxoplasmosis in Cats with Two Time Delays under Environmental Effects Mathematics, Vol. 11, No. 16 | 10 August 2023
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Bacterial Competition in the Presence of a Virus in a Chemostat Mathematics, Vol. 11, No. 16 | 15 August 2023
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An approximate Bayesian approach for estimation of the instantaneous reproduction number under misreported epidemic data Biometrical Journal, Vol. 65, No. 6 | 13 January 2023
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Assessing the Impact of Travel Restrictions on the Spread of the 2020 Coronavirus Epidemic: An Advanced Epidemic Model Based on Human Mobility Sustainability, Vol. 15, No. 16 | 19 August 2023
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Endemic oscillations for SARS-CoV-2 Omicron—A SIRS model analysis Chaos, Solitons & Fractals, Vol. 173 | 1 Aug 2023
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On SIR-type epidemiological models and population heterogeneity effects Physica A: Statistical Mechanics and its Applications, Vol. 624 | 1 Aug 2023
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IDENTIFYING VITAL NODES IN COMPLEX NETWORK BY CONSIDERING MULTIPLEX INFLUENCES Advances in Complex Systems, Vol. 26, No. 04n05 | 8 December 2023
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Impact of contact heterogeneity on initial growth behavior of an epidemic: Complex network-based approach Applied Mathematics and Computation, Vol. 451 | 1 Aug 2023
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Credit risk contagion and optimal dual control—An SIS/R model Mathematics and Computers in Simulation, Vol. 210 | 1 Aug 2023
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Modeling porcine pseudorabies with age structure Electronic Journal of Differential Equations, Vol. 2021, No. 01-104 | 25 May 2021
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A dynamic multistate and control model of the COVID-19 pandemic Journal of Public Health, Vol. 3 | 28 July 2023
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Dynamics-informed deconvolutional neural networks for super-resolution identification of regime changes in epidemiological time series Science Advances, Vol. 9, No. 28 | 14 Jul 2023
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COVID lessons: was there any way to reduce the negative effect of COVID-19 on the United States economy? Journal of Economic Studies, Vol. 50, No. 5 | 3 August 2022
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Modeling population dynamics for information dissemination through Facebook Concurrency and Computation: Practice and Experience, Vol. 35, No. 15 | 19 April 2021
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Epidemics Spread Over Networks: Influence of Infrastructure and Opinions Cyber–Physical–Human Systems | 9 June 2023
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Herd immunity for traffic safety in mixed automated traffic: what if cars could not crash!? Transportation Letters, Vol. 15, No. 6 | 12 May 2022
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An SIR Recovery-Rate Control Model for Piecewise Constant Transmission Rates 2023 9th International Conference on Control, Decision and Information Technologies (CoDIT) | 3 Jul 2023
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Discrete time dynamics of a SIRD reinfection model International Journal of Biomathematics, Vol. 16, No. 05 | 31 October 2022
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Stability analysis of an SIR epidemic model with homestead-isolation on the susceptible and infectious, immunity, relapse and general incidence rate International Journal of Biomathematics, Vol. 16, No. 05 | 19 August 2022
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Estimation of Parameter Distributions for Reaction-Diffusion Equations with Competition using Aggregate Spatiotemporal Data Bulletin of Mathematical Biology, Vol. 85, No. 7 | 3 June 2023
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Stability of HIV-1 Dynamics Models with Viral and Cellular Infections in the Presence of Macrophages Axioms, Vol. 12, No. 7 | 21 June 2023
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Analysis, modeling and simulation of a fractional-order influenza model Alexandria Engineering Journal, Vol. 74 | 1 Jul 2023
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Mathematical modelling approach to cholera transmission with vaccination strategy Alexandria Engineering Journal, Vol. 75 | 1 Jul 2023
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A review on epidemic models in sight of fractional calculus Alexandria Engineering Journal, Vol. 75 | 1 Jul 2023
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Computation of the Exact Forms of Waves for a Set of Differential Equations Associated with the SEIR Model of Epidemics Computation, Vol. 11, No. 7 | 2 July 2023
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Data-Driven Models Informed by Spatiotemporal Mobility Patterns for Understanding Infectious Disease Dynamics ISPRS International Journal of Geo-Information, Vol. 12, No. 7 | 3 July 2023
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Scaling Symmetries and Parameter Reduction in Epidemic SI(R)S Models Symmetry, Vol. 15, No. 7 | 10 July 2023
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Mathematical Identification Analysis of a Fractional-Order Delayed Model for Tuberculosis Fractal and Fractional, Vol. 7, No. 7 | 12 July 2023
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A mathematical study of the omicron variant in a discrete-time Covid-19 model The European Physical Journal Plus, Vol. 138, No. 7 | 10 July 2023
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Modeling and Analysis of the Impact of Risk Culture on Human Behavior during a Catastrophic Event Sustainability, Vol. 15, No. 14 | 14 July 2023
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Emergent information dynamics in many-body interconnected systems Physical Review E, Vol. 108, No. 1 | 31 July 2023
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The power law statistics of the spiking timing in a neuronal network Chaos, Solitons & Fractals, Vol. 172 | 1 Jul 2023
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Mathematical modeling of chickenpox in Phuket: Efficacy of precautionary measures and bifurcation analysis Biomedical Signal Processing and Control, Vol. 84 | 1 Jul 2023
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Assessment of respiratory disease infection risk and natural ventilation intervention countermeasures in teaching spaces: A campus case study Journal of Building Engineering, Vol. 70 | 1 Jul 2023
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Modeling the dynamics of COVID-19 in the presence of Delta and Omicron variants with vaccination and non-pharmaceutical interventions Heliyon, Vol. 9, No. 7 | 1 Jul 2023
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Modeling the future of HIV in Turkey: Cost-effectiveness analysis of improving testing and diagnosis PLOS ONE, Vol. 18, No. 6 | 30 June 2023
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Live Births Forecasting Across Health Regions of Goiás Using Artificial Neural Networks: A Clustering Approach 2023 IEEE 11th International Conference on Healthcare Informatics (ICHI) | 26 Jun 2023
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On the optimal control of kinetic epidemic models with uncertain social features Optimal Control Applications and Methods, Vol. 9 | 22 June 2023
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Towards a Stochastic SEIR Model for the COVID-19 Post-Pandemic Scenario 2023 18th Iberian Conference on Information Systems and Technologies (CISTI) | 20 Jun 2023
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Modelo matemático para la dinámica de la tuberculosis considerando latentes de bajo riesgo Revista Científica, Vol. 47, No. 2 | 15 May 2023
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Spatial heterogeneity and infection patterns on epidemic transmission disclosed by a combined contact-dependent dynamics and compartmental model PLOS ONE, Vol. 18, No. 6 | 13 June 2023
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Infectious diseases and social distancing under state-dependent probabilities Annals of Operations Research, Vol. 3 | 5 June 2023
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Traveling waves for an epidemic system with bilinear incidence in a periodic patchy environment Journal of Differential Equations, Vol. 357 | 1 Jun 2023
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Vaccination and isolation based control design of the COVID-19 pandemic based on adaptive neuro fuzzy inference system optimized with the genetic algorithm Evolving Systems, Vol. 14, No. 3 | 15 September 2022
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CTL-DIFF: Control Information Diffusion in Social Network by Structure Optimization IEEE Transactions on Computational Social Systems, Vol. 10, No. 3 | 1 Jun 2023
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Global dynamics of an SIS compartment model with resource constraints Journal of Applied Mathematics and Computing, Vol. 69, No. 3 | 22 March 2023
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How big of an impact do asymptomatic people have on the dynamics of an epidemic? Chaos, Solitons & Fractals: X, Vol. 10 | 1 Jun 2023
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On-Site Potential Creates Complexity in Systems with Disordered Coupling Physical Review Letters, Vol. 130, No. 23 | 8 June 2023
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Forecasting emergency medicine reserve demand with a novel decomposition-ensemble methodology Complex & Intelligent Systems, Vol. 9, No. 3 | 2 March 2021
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Study of the Effect of Rescuers and the Use of a Massive Alarm in a Population in a Disaster Situation Sustainability, Vol. 15, No. 12 | 13 June 2023
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Convergence of Bi-Virus Epidemic Models With Non-Linear Rates on Networks—A Monotone Dynamical Systems Approach IEEE/ACM Transactions on Networking, Vol. 31, No. 3 | 1 Jun 2023
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HAPC Model of Crowd Behavior during Crises Mathematics, Vol. 11, No. 12 | 15 June 2023
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Studying of COVID-19 fractional model: Stability analysis Partial Differential Equations in Applied Mathematics, Vol. 7 | 1 Jun 2023
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Impact of simplicial complexes on epidemic spreading in partially mapping activity-driven multiplex networks Chaos: An Interdisciplinary Journal of Nonlinear Science, Vol. 33, No. 6 | 12 June 2023
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Stability analysis of a fractional‐order SEIR epidemic model with general incidence rate and time delay Mathematical Methods in the Applied Sciences, Vol. 46, No. 9 | 6 March 2023
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Medical capacity investment for epidemic disease: The effects of policymaker's confidence and public trust Risk Analysis, Vol. 43, No. 6 | 13 July 2022
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How containment policy and medical service impact COVID-19 transmission: A cross-national comparison among China, the USA, and Sweden International Journal of Disaster Risk Reduction, Vol. 91 | 1 Jun 2023
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A novel PRFB decomposition for non-stationary time-series and image analysis Signal Processing, Vol. 207 | 1 Jun 2023
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A stochastic simplicial SIS model for complex networks Communications in Nonlinear Science and Numerical Simulation, Vol. 120 | 1 Jun 2023
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Impact of human cooperation on vaccination behaviors Heliyon, Vol. 9, No. 6 | 1 Jun 2023
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A Transmission Rate Estimator & Controller for Infectious Disease SIR Models - Constant Case 2023 American Control Conference (ACC) | 31 May 2023
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On the Endemic Behavior of a Competitive Tri-Virus SIS Networked Model 2023 American Control Conference (ACC) | 31 May 2023
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Dynamics of Caputo fractional-order SIRV model: The effects of imperfect vaccination on disease transmission International Journal of Biomathematics | 25 May 2023
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Knowledge diffusion for individual literature from the perspective of Altmetrics: Models, measurement and features Journal of Information Science, Vol. 47 | 16 May 2023
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An SEIR model with modified saturated incidence rate and Holling type II treatment function Computational and Mathematical Biophysics, Vol. 11, No. 1 | 8 May 2023
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Stability analysis of an SIR model with alert class modified saturated incidence rate and Holling functional type-II treatment Computational and Mathematical Biophysics, Vol. 11, No. 1 | 8 May 2023
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Predictive analysis of COVID 19 disease based on mathematical modelling and machine learning techniques Computer Methods in Biomechanics and Biomedical Engineering: Imaging & Visualization, Vol. 11, No. 3 | 20 September 2022
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STSIR: An individual-group game-based model for disclosing virus spread in Social Internet of Things Journal of Network and Computer Applications, Vol. 214 | 1 May 2023
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PrEP Intervention in the Mitigation of HIV/AIDS Epidemics in China via a Data-Validated Age-Structured Model Bulletin of Mathematical Biology, Vol. 85, No. 5 | 11 April 2023
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Effect of incubation delay and pollution on the transmission dynamics of infectious disease ANNALI DELL'UNIVERSITA' DI FERRARA, Vol. 69, No. 1 | 20 April 2022
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Perceptive movement of susceptible individuals with memory Journal of Mathematical Biology, Vol. 86, No. 5 | 30 March 2023
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Optimal vaccine allocation for the control of sexually transmitted infections Journal of Mathematical Biology, Vol. 86, No. 5 | 14 April 2023
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Forward-backward and period doubling bifurcations in a discrete epidemic model with vaccination and limited medical resources Journal of Mathematical Biology, Vol. 86, No. 5 | 19 April 2023
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Differential and Time-Discrete SEIRS Models with Vaccination: Local Stability, Validation and Sensitivity Analysis Using Bulgarian COVID-19 Data Mathematics, Vol. 11, No. 10 | 10 May 2023
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Epidemic Theory-Inspired Integrated Sensing and Communication Networks: Design and Analysis IEEE Communications Magazine, Vol. 61, No. 5 | 1 May 2023
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Managing disease containment measures during a pandemic Production and Operations Management, Vol. 32, No. 5 | 3 February 2022
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Spatio-temporal chaos and clustering induced by nonlocal information and vaccine hesitancy in the SIR epidemic model Chaos, Solitons & Fractals, Vol. 170 | 1 May 2023
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Interactions between hosts affect virus competition mechanism within an infectious strain Chaos, Solitons & Fractals, Vol. 170 | 1 May 2023
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The structure and dynamics of networks with higher order interactions Physics Reports, Vol. 1018 | 1 May 2023
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Signal propagation in complex networks Physics Reports, Vol. 1017 | 1 May 2023
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Lévy noise with infinite activity and the impact on the dynamic of an SIRS epidemic model Physica A: Statistical Mechanics and its Applications, Vol. 618 | 1 May 2023
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Optimal Intervention Strategies for Minimizing Total Incidence During an Epidemic SIAM Journal on Applied Mathematics, Vol. 83, No. 2 | 16 March 2023
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Optimal Control for A SEIR Epidemiological Model Under the Effect of Different Incidence Rates Düzce Üniversitesi Bilim ve Teknoloji Dergisi, Vol. 11, No. 2 | 30 April 2023
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Time tracing the earliest case of local pandemic resurgence Frontiers in Physics, Vol. 11 | 18 April 2023
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Vaccination strategies in structured populations under partial immunity and reinfection Journal of Physics A: Mathematical and Theoretical | 17 April 2023
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The asymptotic behavior of bacterial and viral diseases model on a growing domain Applicable Analysis, Vol. 102, No. 6 | 2 November 2021
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Analytical and Numerical Investigation of the SIR Mathematical Model Computational Mathematics and Modeling, Vol. 115 | 5 April 2023
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Mathematical Modeling and Its Methodological Approach: Application to Infectious Disease 2023 International Conference on Science, Engineering and Business for Sustainable Development Goals (SEB-SDG) | 5 Apr 2023
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Asymptotic analysis of the SIR model and the Gompertz distribution Journal of Computational and Applied Mathematics, Vol. 422 | 1 Apr 2023
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How to design virus containment policies? A joint analysis of economic and epidemic dynamics under the COVID-19 pandemic Journal of Economic Interaction and Coordination, Vol. 18, No. 2 | 28 October 2022
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Numerical solutions of fractional epidemic models with generalized Caputo-type derivatives Physica Scripta, Vol. 98, No. 4 | 10 March 2023
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A Generalized Mathematical Model of Toxoplasmosis with an Intermediate Host and the Definitive Cat Host Mathematics, Vol. 11, No. 7 | 28 March 2023
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An SIR model with viral load-dependent transmission Journal of Mathematical Biology, Vol. 86, No. 4 | 27 March 2023
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A spatiotemporal machine learning approach to forecasting COVID-19 incidence at the county level in the USA International Journal of Data Science and Analytics, Vol. 15, No. 3 | 15 January 2022
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Explainability of the COVID-19 epidemiological model with nonnegative tensor factorization International Journal of Data Science and Analytics, Vol. 15, No. 3 | 30 April 2022
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Final epidemic size and optimal control of socio-economic multi-group influenza model Journal of Engineering Mathematics, Vol. 139, No. 1 | 11 April 2023
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Predictive Model for History Matching of Social Acceptance in Geothermal Energy Projects Renewable Energy Focus, Vol. 22 | 1 Apr 2023
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Visualization of relevant parameter dependencies in a delay SEIQ epidemic model — A live script program for didactic and interactive demonstrations International Journal of Modeling, Simulation, and Scientific Computing, Vol. 14, No. 02 | 27 April 2023
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An SIS epidemic model with mass action infection mechanism in a patchy environment Studies in Applied Mathematics, Vol. 150, No. 3 | 20 December 2022
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How Asymptomatic Transmission Influences Mitigation and Suppression Strategies during a Pandemic Risk Analysis, Vol. 43, No. 4 | 3 May 2021
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Intergenerational coresidence and the Covid-19 pandemic in the United States Economics & Human Biology, Vol. 49 | 1 Apr 2023
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Geometric persistence and distributional trends in worldwide terrorism Chaos, Solitons & Fractals, Vol. 169 | 1 Apr 2023
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Fractional-order crime propagation model with non-linear transmission rate Chaos, Solitons & Fractals, Vol. 169 | 1 Apr 2023
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A singularly perturbed vector‐bias malaria model incorporating bed net control Mathematical Methods in the Applied Sciences, Vol. 46, No. 5 | 31 October 2022
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On the Mathematical Analysis of the Stochastic Age-structured Infectious Model Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications, Vol. 2023, No. 0 | 24 Mar 2023
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A Synthesis of Pulse Influenza Vaccination Policies Using an Efficient Controlled Elitism Non-Dominated Sorting Genetic Algorithm (CENSGA) Electronics, Vol. 11, No. 22 | 13 November 2022
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Numerical Coefficient Reconstruction of Time-Depending Integer- and Fractional-Order SIR Models for Economic Analysis of COVID-19 Mathematics, Vol. 10, No. 22 | 13 November 2022
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Stochastic physics-informed neural ordinary differential equations Journal of Computational Physics, Vol. 468 | 1 Nov 2022
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On the Test Accuracy and Effective Control of the COVID-19 Pandemic: A Case Study in Singapore INFORMS Journal on Applied Analytics, Vol. 52, No. 6 | 1 Nov 2022
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Optimal control problem of various epidemic models with uncertainty based on deep reinforcement learning Numerical Methods for Partial Differential Equations, Vol. 38, No. 6 | 18 February 2022
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Modeling Complex Systems: A Case Study of Compartmental Models in Epidemiology Complexity, Vol. 2022 | 29 Oct 2022
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On the mathematical modeling of schistosomiasis transmission dynamics with heterogeneous intermediate host Frontiers in Applied Mathematics and Statistics, Vol. 8 | 13 October 2022
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Travelling Wave Analysis of a Diffusive COVID-19 Model Journal of Applied Mathematics, Vol. 2022 | 7 Oct 2022
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Categorizing and Harmonizing Natural, Technological, and Socio-Economic Perils Following the Catastrophe Modeling Paradigm International Journal of Environmental Research and Public Health, Vol. 19, No. 19 | 6 October 2022
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Model-Based Analysis of SARS-CoV-2 Infections, Hospitalization and Outcome in Germany, the Federal States and Districts Viruses, Vol. 14, No. 10 | 24 September 2022
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Mathematical Assessment of the Impact of the Imperfect Vaccination on Diphtheria Transmission Dynamics Symmetry, Vol. 14, No. 10 | 24 September 2022
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Study on the interaction between different pathogens of Hand, foot and mouth disease in five regions of China Frontiers in Public Health, Vol. 10 | 27 September 2022
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An ISS Lyapunov function estimating admissible inflow perturbations for semi-global control of SIQR model 2022 61st Annual Conference of the Society of Instrument and Control Engineers (SICE) | 6 Sep 2022
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Analysis of the Geographic Transmission Differences of COVID-19 in China Caused by Population Movement and Population Density Bulletin of Mathematical Biology, Vol. 84, No. 9 | 1 August 2022
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Analogy between Consecutive Reaction Kinetics and the Spread of COVID-19 as a Student-Centered Learning Approach Journal of Chemical Education, Vol. 15 | 31 August 2022
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Analytical investigation of compartmental models and measure for reactions of governments The European Physical Journal E, Vol. 45, No. 8 | 17 August 2022
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Mathematical Analysis of COVID-19 Transmission Dynamics Model in Ghana with Double-Dose Vaccination and Quarantine Computational and Mathematical Methods in Medicine, Vol. 2022 | 28 Jul 2022
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Estimating and simulating a SIRD Model of COVID-19 for many countries, states, and cities Journal of Economic Dynamics and Control, Vol. 140 | 1 Jul 2022
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Enhancing Covid-19 virus spread modeling using an activity travel model Transportation Research Part A: Policy and Practice, Vol. 161 | 1 Jul 2022
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Modelling effectiveness of COVID-19 pandemic control policies using an Area-based SEIR model with consideration of infection during interzonal travel Transportation Research Part A: Policy and Practice, Vol. 161 | 1 Jul 2022
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The Numerical Approximation to a Stochastic Age-Structured HIV/AIDS Model with Nonlinear Incidence Rates Computational Methods in Applied Mathematics, Vol. 22, No. 3 | 9 March 2022
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Estimating Uncertainty in Epidemic Models: An Application to COVID-19 Pandemic in Italy The Economics of COVID-19 | 1 Jun 2022
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Reconstruction of a large-scale outbreak of SARS-CoV-2 infection in Iceland informs vaccination strategies Clinical Microbiology and Infection, Vol. 28, No. 6 | 1 Jun 2022
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Finite or Infinite Spreading Speed of an Epidemic Model with Free Boundary and Double Nonlocal Effects Journal of Dynamics and Differential Equations, Vol. 40 | 31 May 2022
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Spreading of fake news, competence and learning: kinetic modelling and numerical approximation Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 380, No. 2224 | 11 April 2022
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Contagious statistical distributions: k-connections and applications in infectious disease environments PLOS ONE, Vol. 17, No. 5 | 27 May 2022
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A Mathematical Model of Transmission Dynamics of SARS-CoV-2 (COVID-19) with an Underlying Condition of Diabetes International Journal of Mathematics and Mathematical Sciences, Vol. 2022 | 18 May 2022
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Analysing the Effects of Lockdown & Vaccination to Inhibit the Spread of COVID-19 in India with a Networked SUVIRD Model 2022 8th International Conference on Control, Decision and Information Technologies (CoDIT) | 17 May 2022
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Research on improved SEIR model predicting UK Coronavirus variant Omicron outbreak 2nd International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2022) | 17 May 2022
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Classification of Normal and Anomalous Activities in a Network by Cascading C4.5 Decision Tree and K‐Means Clustering Algorithms Social Network Analysis | 29 April 2022
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A new method based on the Laplace transform and Fourier series for solving linear neutral delay differential equations Applied Mathematics and Computation, Vol. 420 | 1 May 2022
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The Role of Asymptomatic Infections in the COVID-19 Epidemic via Complex Networks and Stability Analysis SIAM Journal on Control and Optimization, Vol. 60, No. 2 | 11 January 2022
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How Much Testing and Social Distancing is Required to Control COVID-19? Some Insight Based on an Age-Differentiated Compartmental Model SIAM Journal on Control and Optimization, Vol. 60, No. 2 | 13 January 2022
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Stability Analysis and Optimal Control Strategies of Giving Up Relapse Smoking Model with Bilinear and Harmonic Mean Type of Incidence Rates Journal of Function Spaces, Vol. 2022 | 14 Apr 2022
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An Epidemiological Compartmental Model With Automated Parameter Estimation and Forecasting of the Spread of COVID-19 With Analysis of Data From Germany and Brazil Frontiers in Applied Mathematics and Statistics, Vol. 8 | 13 April 2022
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Examination of Diffusion Patterns of Tornado Warning Using an Agent-Based Model and Simulation Weather, Climate, and Society, Vol. 14, No. 2 | 1 Apr 2022
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A Note on Dependence of Epidemic Threshold on State Transition Diagram in the SEIC Cybersecurity Dynamical System Model Science of Cyber Security | 20 November 2018
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Mathematical Models for Malware Propagation in Wireless Sensor Networks: An Analysis Computer and Network Security Essentials | 13 August 2017
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Mathematical assessment of the role of vector insecticide resistance and feeding/resting behavior on malaria transmission dynamics: Optimal control analysis Infectious Disease Modelling, Vol. 3 | 1 Jan 2018
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Maximizing time-discounted influential sustainability in social networks 2017 IEEE International Conference on Systems, Man, and Cybernetics (SMC) | 1 Oct 2017
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Analyzing and modeling dynamics of information diffusion in microblogging social network Journal of Network and Computer Applications, Vol. 86 | 1 May 2017
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Identifying influential spreaders in complex networks through local effective spreading paths Journal of Statistical Mechanics: Theory and Experiment, Vol. 2017, No. 5 | 5 May 2017
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Assessing the Potential Impact of Hormonal-Based Contraceptives on HIV Transmission Dynamics Among Heterosexuals Bulletin of Mathematical Biology, Vol. 79, No. 4 | 3 March 2017
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Understanding epidemics from mathematical models: Details of the 2010 dengue epidemic in Bello (Antioquia, Colombia) Applied Mathematical Modelling, Vol. 43 | 1 Mar 2017
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Investigation on financial crises with the negative-information-propagation-induced model Physica A: Statistical Mechanics and its Applications, Vol. 470 | 1 Mar 2017
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Information diffusion in interconnected heterogeneous networks 2017 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) | 1 Mar 2017
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MATHEMATICAL STUDY OF IN-HOST DYNAMICS OF HERPES SIMPLEX VIRUS TYPE 2 TO ASSESS THE IMPACT OF IMMUNE RESPONSE Journal of Biological Systems, Vol. 25, No. 01 | 7 March 2017
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DEMOGRAPHICS INDUCE EXTINCTION OF DISEASE IN AN SIS MODEL BASED ON CONDITIONAL MARKOV CHAIN Journal of Biological Systems, Vol. 25, No. 01 | 7 March 2017
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Deterministic Seirs Epidemic Model for Modeling Vital Dynamics, Vaccinations, and Temporary Immunity Mathematics, Vol. 5, No. 1 | 17 January 2017
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The spreading dynamics of sexually transmitted diseases with birth and death on heterogeneous networks Journal of Statistical Mechanics: Theory and Experiment, Vol. 2017, No. 2 | 6 February 2017
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Analytic Approximation of Invasion Wave Amplitude Predicts Severity of Insect Outbreaks SIAM Journal on Applied Mathematics, Vol. 77, No. 1 | 22 February 2017
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Switching Control Strategies Infectious Disease Modeling | 26 February 2017
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Pulse Control Strategies Infectious Disease Modeling | 26 February 2017
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Measuring the Inspiration Rate of Topics in Bibliographic Networks Discovery Science | 16 September 2017
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EpiStrat: A Tool for Comparing Strategies for Tackling Urban Epidemic Outbreaks Smart Health | 28 October 2017
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Global Versus Local Computations: Fast Computing with Identifiers Structural Information and Communication Complexity | 30 December 2017
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Age-Structured SIR Epidemic Model Age-Structured Population Dynamics in Demography and Epidemiology | 16 March 2017
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Effects of Delay and Drug on HIV Infection Proceedings of Sixth International Conference on Soft Computing for Problem Solving | 13 April 2017
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Surveillance for Outbreak Detection in Livestock-Trade Networks Temporal Network Epidemiology | 5 October 2017
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How Behaviour and the Environment Influence Transmission in Mobile Groups Temporal Network Epidemiology | 5 October 2017
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A Multiscale Model for the World’s First Parasitic Disease Targeted for Eradication: Guinea Worm Disease Computational and Mathematical Methods in Medicine, Vol. 2017 | 1 Jan 2017
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Analysis of a Heroin Epidemic Model with Saturated Treatment Function Journal of Applied Mathematics, Vol. 2017 | 1 Jan 2017
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Hamiltonian Analysis of Subcritical Stochastic Epidemic Dynamics Computational and Mathematical Methods in Medicine, Vol. 2017 | 1 Jan 2017
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Analysis of Economic Burden of Seasonal Influenza: An Actuarial Based Conceptual Model Journal of Applied Mathematics, Vol. 2017 | 1 Jan 2017
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Threshold Dynamics of a Stochastic SIR Model with Vertical Transmission and Vaccination Computational and Mathematical Methods in Medicine, Vol. 2017 | 1 Jan 2017
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Modeling peer influence effects on the spread of high–risk alcohol consumption behavior Ricerche di Matematica, Vol. 63, No. 1 | 1 October 2013
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Modeling the effect of police deterrence on the prevalence of crime in the society Applied Mathematics and Computation, Vol. 237 | 1 Jun 2014
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Global dynamics of a network epidemic model for waterborne diseases spread Applied Mathematics and Computation, Vol. 237 | 1 Jun 2014
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Effects of habitat characteristics on the growth of carrier population leading to increased spread of typhoid fever: A model Journal of Epidemiology and Global Health, Vol. 4, No. 2 | 1 Jun 2014
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Ranking the spreading ability of nodes in complex networks based on local structure Physica A: Statistical Mechanics and its Applications, Vol. 403 | 1 Jun 2014
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Scalable Vaccine Distribution in Large Graphs given Uncertain Data Proceedings of the 23rd ACM International Conference on Conference on Information and Knowledge Management - CIKM '14 | 1 Jan 2014
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HSV-2 and Substance Abuse amongst Adolescents: Insights through Mathematical Modelling Journal of Applied Mathematics, Vol. 2014 | 1 Jan 2014
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Stability of a Mathematical Model of Malaria Transmission with Relapse Abstract and Applied Analysis, Vol. 2014 | 1 Jan 2014
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Mathematical Analysis of a Cholera Model with Vaccination Journal of Applied Mathematics, Vol. 2014 | 1 Jan 2014
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SIRS Model of Passengers’ Panic Propagation under Self-Organization Circumstance in the Subway Emergency Mathematical Problems in Engineering, Vol. 2014 | 1 Jan 2014
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Constitutive Relation of Engineering Material Based on SIR Model and HAM Journal of Applied Mathematics, Vol. 2014 | 1 Jan 2014
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Transmission Dynamics of Hepatitis C with Control Strategies Journal of Computational Medicine, Vol. 2014 | 1 Jan 2014
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An SIRS Epidemic Model Incorporating Media Coverage with Time Delay Computational and Mathematical Methods in Medicine, Vol. 2014 | 1 Jan 2014
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Disease Control through Voluntary Vaccination Decisions Based on the Smoothed Best Response Computational and Mathematical Methods in Medicine, Vol. 2014 | 1 Jan 2014
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Optimal Control of HIV/AIDS in the Workplace in the Presence of Careless Individuals Computational and Mathematical Methods in Medicine, Vol. 2014 | 1 Jan 2014
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Dynamics of Mycobacterium and bovine tuberculosis in a Human-Buffalo Population Computational and Mathematical Methods in Medicine, Vol. 2014 | 1 Jan 2014
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A non-progressive model of innovation diffusion in social networks 52nd IEEE Conference on Decision and Control | 1 Dec 2013
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Social Communications Assisted Epidemic Disease Influence Minimization Wireless Algorithms, Systems, and Applications | 1 Jan 2013
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Epidemics on a Stochastic Model of Temporal Network Dynamics On and Of Complex Networks, Volume 2 | 11 April 2013
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