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First published March 1993

The estimation of the basic reproduction number for infectious diseases

K. DietzView all authors and affiliations
Volume 2, Issue 1
https://doi.org/10.1177/096228029300200103

Abstract

The basic reproduction number Ro is the number of secondary cases which one case would produce in a completely susceptible population. It depends on the duration of the infectious period, the probability of infecting a susceptible individual during one contact, and the number of new susceptible individuals contacted per unit of time. Therefore Ro may vary considerably for different infectious diseases but also for the same disease in different populations. The key threshold result of epidemic theory associates the outbreaks of epidemics and the persistence of endemic levels with basic reproduction numbers greater than one. Because the magnitude of R0 allows one to determine the amount of effort which is necessary either to prevent an epidemic or to eliminate an infection from a population, it is crucial to estimate Ro for a given disease in a particular population. The present paper gives a survey about the various estimation methods available.

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References

Böckh R. Statistisches Jahrbuch der Stadt Berlin, Zwölfter Jahrgang. Statistik des Jahres 1884. Berlin : P Stankiewicz, 1886: 30-31.
Google Scholar
Sharpe FR, Lotka AJ A problem in age distribution. Philosophical Magazine 1911; Series 6, 21: 435-8. (Reprinted in: Smith D., Keyfitz N. Mathematical demography, selected papers, Berlin: Springer, 1977: 97-100).
Google Scholar
Lotka AJ Théorie analytique des associations biologiques. Deuxième partie. Analyse démographique avec application particuliére à l'espèce humaine. Paris: Hermann, 1939 : 102.
Google Scholar
Impagliazzo J. Deterministic aspects of mathematical demography. An investigation of the stable theory of population including an analysis of the population statistics of Denmark. Berlin: Springer, 1985: 139-40.
Google Scholar
Dublin LI, Lotka AJ On the true rate of natural increase as exemplified by the population of the United States, 1920. Journal of the American Statistical Association 1925; 20: 305-39.
Google Scholar
Macdonald G. The analysis of equilibrium in malaria. Tropical Diseases Bulletin 1952; 49: 813-29.
Google Scholar
Smith Ceg. Factors in the transmission of virus infections from animals to man. Scientific Basis of Medicine. Ann. Rev. 1964 ; 125-50.
Google Scholar
Bharucha-Reid AT On the stochastic theory of epidemics. In: Neyman J ed. Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability . Volume IV: Biology and Problems of Health. Berkeley: University of California Press, 1956: 111-19.
Google Scholar
Neyman J., Scott EL A stochastic model of epidemics. In: Gurland J ed. Stochastic models in medicine and biology . Madison: The University of Wisconsin Press, 1964: 45-83.
Google Scholar
Bartoszyński R. Branching processes and models of epidemics. (Dissertationes Mathematicae). Warszawa: Państwowe Wydawnictwo Naukowe, 1969.
Google Scholar
Becker N. The use of mathematical models in determining vaccination policies . Bulletin of the International Statistical Institute 1975; 46: 478-90.
Google Scholar
Dietz K. Transmission and control of arboviruses. In: Ludwig D, Cooke KL eds. Proceedings of the SIMS conference on epidemiology. Philadelphia: Society for Industrial and Applied Mathematics, 1975: 104-21.
Google Scholar
Hethcote HW Mathematical models for the spread of infectious diseases. In: Ludwig D, Cooke KL eds. Proceedings of the SIMS conference on epidemiology . Philadelphia: Society for Industrial and Applied Mathematics, 1975: 122-31.
Google Scholar
Diekmann O., Heesterbeek Jap, Metz Jaj. On the definition and the computation of the basic reproduction ratio Ro in models for infectious diseases in heterogeneous populations. Journal of Mathematical Biology 1990; 28: 365-82.
Google Scholar
Elandt-Johnson RC Definition of rates: some remarks on their use and misuse. American Journal of Epidemiology 1975; 102: 267-71.
Google Scholar
Nåsell I. Hybrid models of tropical infections. Berlin: Springer, 1985.
Google Scholar
Ross, R. The prevention of malaria. Second edition with an addendum on the theory of happening. London: John Murray, 1911: 685.
Google Scholar
Hethcote HW, Yorke JA Gonorrhea: transmission dynamics and control. Berlin: Springer, 1984: 53.
Google Scholar
Svensson Å. Analyzing effects of vaccines. Mathematical Biosciences 1991; 107: 407-12.
Google Scholar
Greenland S., Frerichs RR On measures and models for the effectiveness of vaccines and vaccination programmes. International Journal of Epidemiology 1988; 17: 456-63.
Google Scholar
Smith PG, Rodrigues LC, Fine Pem. Assessment of the protective efficacy of vaccines against common diseases using case-control and cohort studies. International Journal of Epidemiology 1984; 13: 87-93.
Google Scholar
Scalia-Tomba G. Asymptotic final size distribution of the multitype Reed-Frost process. Journal of Applied Probability 1986; 23: 563-84.
Google Scholar
Macdonald G. Theory of the eradication of malaria. Bulletin of the World Health Organisation 1956; 15: 369-87.
Google Scholar
Garrett-Jones C. Prognosis for interruption of malaria-transmission through assessment of the mosquito's vectorial capacity. Nature 1964; 204:1173-75.
Google Scholar
Molineaux L., Muir DA, Spencer HC, Wernsdorfer WH The epidemiology of malaria and its measurement . In: Wernsdorfer WH, McGregor I eds. Malaria, principles and practice of malariology. Edinburgh : Churchill Livingstone, 1985: 999-1089.
Google Scholar
Dye C. Vectorial capacity: must we measure all its components. Parasitology Today 1986; 2: 203-209.
Google Scholar
Najera JA A critical review of the field application of a mathematical model of malaria eradication. Bulletin of the World Health Organisation 1974; 50: 449-57.
Google Scholar
Clements AN, Paterson GD The analysis of mortality and survival rates in wild populations of mosquitoes. Journal of Applied Ecology 1981; 18: 373-99.
Google Scholar
Bradley DJ Epidemiological models - theory and reality. In: Anderson RM ed. The population dynamics of infectious diseases: theory and applications. London: Chapman and Hall, 1982: 324.
Google Scholar
Molineaux L. The pros and cons of modelling malaria transmission . Transactions of the Royal Society of Tropical Medicine and Hygiene 1985; 79: 743-47.
Google Scholar
Bonneux L., Howeling H. Is een epidemie von heteroseksueel overgedragen HIV-infectie mogelijk in Europa ? Nederlandse Organisatie van Tijdschrift-uit Geneeskd 1989; 133: 1922-26.
Google Scholar
Blower SM, Anderson RM, Wallace P. Loglinear models, sexual behavior and HIV: epidemiological implications of heterosexual transmission. Journal of AIDS 1990; 3: 763-72.
Google Scholar
Stigum H., Grønnesby JK, Magnus P., Sundet JM, Bakketeig LS The potential of spread of HIV in the heterosexual population in Norway: a model study. Statistics in Medicine 1991 ; 10: 1003-23.
Google Scholar
Knolle H. Age preference in sexual choice and the basic reproduction number of HIV/AIDS . The Biometrical Journal 1990 ; 32: 243-56.
Google Scholar
May RM, Anderson RM Transmission dynamics of HIV infection. Nature 1987; 326: 137-42.
Google Scholar
Peterman TA, Stoneburner RL, Allen JR, Jaffe HW, Curran JW Risk of HIV transmission from heterosexual adults with transfusion-associated infections. Journal of American Medical Association 1988; 259: 55-63.
Google Scholar
Kaplan EH Modelling HIV infectivity: Must sex acts be counted. Journal of AIDS 1990; 3: 55-61.
Google Scholar
Diekmann O., Dietz K., Heesterbeek Jap. The basic reproduction ratio for sexually transmitted diseases: I. Theoretical considerations. Mathematical Biosciences 1991; 107: 325-39.
Google Scholar
Dietz K., Schenzle D. Mathematical models for infectious disease statistics. In: Atkinson AC, Fienberg SE eds. A celebration of statistics: the ISI centenary volume . New York: Springer, 1985:167-204.
Google Scholar
Jacquez JA, Simon CP The reproduction number in deterministic models of contagious diseases . Comments on Theoretical Biology 1991; 2: 159-209.
Google Scholar
Anderson RM, Medley GF, May RM, Johnson AM A preliminary study of the transmission of the human immunodeficiency virus (HIV), the causative agent of AIDS. IMA Journal of Mathematics Applied to Medicine and Biology 1986; 3: 229-63.
Google Scholar
Cairns Ajg. Model fitting and projection of the AIDS epidemic . Mathematical Biosciences 1991; 107: 451-89.
Google Scholar
Hethcote HW, Van Ark JW Epidemiological models for heterogeneous populations: proportionate mixing, parameter estimation, and immunization programs. Mathematical Biosciences 1987: 84: 85-118.
Google Scholar
Thomson D., Foege W. Faith tabernacle smallpox epidemic, Abakaliki, Virginia . WHO/ SE/68.3, 1968: 8.
Google Scholar
Bailey Ntj, Thomas AS The estimation of parameters from population data on the general stochastic epidemic. Theoretical Population Biology 1971 ; 2: 253-70.
Google Scholar
Becker NG Analysis of infectious disease data. London: Chapman and Hall, 1989.
Google Scholar
Becker NG Martingale methods. Statistical Methods in Medical Research 1993; 2: 93-112.
Google Scholar
Macdonald G. The measurement of malaria transmission. Proceedings of the Royal Society of Medicine 1955 ; 48: 295-301.
Google Scholar
Fine Pem. Superinfection - a problem in formulating a problem (an historical critique of Macdonald's theory). Tropical Diseases Bulletin 1975;72:475-88.
Google Scholar
Macdonald G., Cuellar CB, Foll CV The dynamics of malaria . Bulletin of the World Health Organisation 1968; 38: 743-55.
Google Scholar
Dietz K. Mathematical models for transmission and control of malaria. In: Wernsdorfer WH, McGregor I eds. Malaria, principles and practice of malariology . Edinburgh: Churchill Livingstone, 1985: 1091-133.
Google Scholar
Dietz K. Density dependence in parasite transmission dynamics. Parasitology Today 1988; 4: 91-97.
Google Scholar
Barbour AD Schistosomiasis. In: Andersom RM ed. The population dynamics of infectious diseases: theory and applications . London: Chapman and Hall, 1982: 180-208.
Google Scholar
Rogers DJ The dynamics of vector-transmitted diseases in human communities. Philosophical Transactions, Royal Society of London 1988; B321: 513-39.
Google Scholar
Hasibeder G., Dye C., Carpenter J. Mathematical modelling and theory for estimating the basic reproduction number of canine leishmaniasis. Parasitology 1992; 105: 43-53.
Google Scholar
Muench H. Catalytic models in epidemiology. Cambridge, MA : Harvard University Press, 1959 .
Google Scholar
Anderson RM, May RM Infectious diseases of humans: dynamics and control. Oxford : Oxford University Press, 1991 .
Google Scholar
Anderson RM, May RM Age-related changes in the rate of disease transmission: implications for the design of vaccination programmes. Journal of Hygiene 1985; 94: 365-436.
Google Scholar
Schenzle D. Control of virus transmission in age-structured populations. In: Capasso V, Grosso E, Paveri-Fontana SL eds. Mathematics in biology and medicine, proceedings Bari 1983. Berlin: Springer, 1985: 171-78.
Google Scholar
Dietz K., Schenzle D. Proportionate mixing models for age-dependent infection transmission. Journal of Mathematical Biology 1985; 22: 117-20.
Google Scholar
Grenfell BT, Anderson RM The estimation of age-related rates of infection from case notification and serological data. Journal of Hygiene 1985; 95: 419-36.
Google Scholar
Keiding N. Age-specific incidence and prevalence: a statistical perspective. Journal of the Royal Statistical Society A 1991; 154: 371-412.
Google Scholar

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Volume 2, Issue 1
Pages: 23 - 41
Article first published: March 1993
Issue published: March 1993

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PubMed: 8261248

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K. Dietz
Department of Medical Biometry, University of Tubingen, Germany
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  168. Machine Learning for Analyzing Non-Countermeasure Factors Affecting Ea...
    Go to citation Crossref Google Scholar
  169. Estimation of the Basic Reproduction Numbers of the Subtypes H5N1, H5N...
    Go to citation Crossref Google Scholar
  170. Association between COVID-19 outcomes and mask mandates, adherence, an...
    Go to citation Crossref Google Scholar
  171. 2D materials as a diagnostic platform for the detection and sensing of...
    Go to citation Crossref Google Scholar
  172. Continental transmission of emerging COVID-19 on the 38° north latitud...
    Go to citation Crossref Google Scholar
  173. Concurrency measures in the era of temporal network epidemiology: a re...
    Go to citation Crossref Google Scholar
  174. Optimal governance and implementation of vaccination programmes to con...
    Go to citation Crossref Google Scholar
  175. The impact of varying class sizes on epidemic spread in a university p...
    Go to citation Crossref Google Scholar
  176. SIR model applied in dynamics of COVID-19 contagion in São Luís-MA, Br...
    Go to citation Crossref Google Scholar
  177. Exploring COVID-19 Daily Records of Diagnosed Cases and Fatalities Bas...
    Go to citation Crossref Google Scholar
  178. The Role of Health Resort Enterprises in Health Prevention during the ...
    Go to citation Crossref Google Scholar
  179. COVID-19 Pandemic Response Simulation in a Large City: Impact of Nonph...
    Go to citation Crossref Google ScholarPub Med
  180. Microscopic Numerical Simulations of Epidemic Models on Networks
    Go to citation Crossref Google Scholar
  181. Comparison of Different Approaches in Estimating Initial Reproduction ...
    Go to citation Crossref Google Scholar
  182. Statistical Estimation of the Reproductive Number From Case Notificati...
    Go to citation Crossref Google Scholar
  183. Assessing required SARS-CoV-2 blanket testing rates for possible contr...
    Go to citation Crossref Google Scholar
  184. Building epidemic models for living populations and computer networks
    Go to citation Crossref Google ScholarPub Med
  185. Effects of social structure and management on risk of disease establis...
    Go to citation Crossref Google Scholar
  186. Mathematical modelling of Toxoplasma gondii transmission: A systematic...
    Go to citation Crossref Google Scholar
  187. Modelling the Spread of the Coronavirus: A View from Economics
    Go to citation Crossref Google Scholar
  188. Mathematical Modeling and Analysis of Khat-Chewing Dynamics
    Go to citation Crossref Google Scholar
  189. Early Indicators of Human Activity During COVID-19 Period Using Digita...
    Go to citation Crossref Google Scholar
  190. Pathogen Dynamics across the Diversity of Aging
    Go to citation Crossref Google Scholar
  191. Do Stay at Home Orders and Cloth Face Coverings Control COVID-19 in Ne...
    Go to citation Crossref Google Scholar
  192. An SVEIRE Model of Tuberculosis to Assess the Effect of an Imperfect V...
    Go to citation Crossref Google Scholar
  193. Tracking R of COVID-19: A new real-time estimation using the Kalman fi...
    Go to citation Crossref Google Scholar
  194. Strategies for COVID-19 Pandemic Recovery: Application of Engineering ...
    Go to citation Crossref Google Scholar
  195. Information Systems in the COVID-19 Pandemic: An Analysis of Infection...
    Go to citation Crossref Google Scholar
  196. Case Study: The Corona Contact Tracing App in Germany
    Go to citation Crossref Google Scholar
  197. COVID-19 in the Russian Federation: Regional Differences and Public He...
    Go to citation Crossref Google Scholar
  198. Trends and Risk of HIV/AIDS in Turkey and Its Cities
    Go to citation Crossref Google Scholar
  199. Sequential Data Assimilation of the Stochastic SEIR Epidemic Model for...
    Go to citation Crossref Google Scholar
  200. Modelling of reproduction number for COVID-19 in India and high incide...
    Go to citation Crossref Google Scholar
  201. A study on transmission dynamics of the emerging Candida Auris infecti...
    Go to citation Crossref Google Scholar
  202. On the reproduction number in epidemics
    Go to citation Crossref Google Scholar
  203. Modeling transmission dynamics of severe acute respiratory syndrome co...
    Go to citation Crossref Google Scholar
  204. The Fundamental Role of Social Behaviour in Attenuating the Effect of ...
    Go to citation Crossref Google Scholar
  205. Predicted Impact of Vaccination and Active Case Finding Measures to Co...
    Go to citation Crossref Google Scholar
  206. Predicting COVID-19 Transmission to Inform the Management of Mass Even...
    Go to citation Crossref Google Scholar
  207. Herd Immunity in India: A Review
    Go to citation Crossref Google Scholar
  208. Basic reinfection number and backward bifurcation
    Go to citation Crossref Google Scholar
  209. A simple SIR model with a large set of asymptomatic infectives
    Go to citation Crossref Google Scholar
  210. Genetic variation in resistance and high fecundity impede viral biocon...
    Go to citation Crossref Google Scholar
  211. Outbreak dynamics of COVID-19 in China and the United States
    Go to citation Crossref Google Scholar
  212. Deriving risk maps from epidemiological models of vector borne disease...
    Go to citation Crossref Google Scholar
  213. AeDES: a next-generation monitoring and forecasting system for environ...
    Go to citation Crossref Google Scholar
  214. Investigating duration and intensity of Covid-19 social-distancing str...
    Go to citation Crossref Google Scholar
  215. The economic value of R0 for selective breeding against microparasitic...
    Go to citation Crossref Google Scholar
  216. A ‘what-if’ scenario: Nipah virus attacks pig trade chains in Thailand
    Go to citation Crossref Google Scholar
  217. Mathematical evaluation of the role of cross immunity and nonlinear in...
    Go to citation Crossref Google Scholar
  218. A reliable and competitive mathematical analysis of Ebola epidemic mod...
    Go to citation Crossref Google Scholar
  219. Sensitivity and mathematical model analysis on secondhand smoking toba...
    Go to citation Crossref Google Scholar
  220. Mathematical Quantification of Transmission in Experiments: FMDV Trans...
    Go to citation Crossref Google Scholar
  221. Estimating the basic reproduction number for the 2015 bubonic plague o...
    Go to citation Crossref Google Scholar
  222. Is it safe to lift COVID-19 travel bans? The Newfoundland story
    Go to citation Crossref Google Scholar
  223. Predicting N-Strain Coexistence from Co-colonization Interactions: Epi...
    Go to citation Crossref Google Scholar
  224. Probabilistic approximation of effective reproduction number of COVID-...
    Go to citation Crossref Google Scholar
  225. The reproduction number of COVID-19 and its correlation with public he...
    Go to citation Crossref Google Scholar
  226. Data-driven modeling of COVID-19—Lessons learned
    Go to citation Crossref Google Scholar
  227. Mathematical analysis to control the spread of Ebola virus epidemic th...
    Go to citation Crossref Google Scholar
  228. EPIDEMIOLOGIA DIGITAL
    Go to citation Crossref Google Scholar
  229. Preliminary estimation of temporal and spatiotemporal dynamic measures...
    Go to citation Crossref Google Scholar
  230. Mathematical modeling and cellular automata simulation of infectious d...
    Go to citation Crossref Google Scholar
  231. Transmission of West Nile and five other temperate mosquito-borne viru...
    Go to citation Crossref Google Scholar
  232. Determinants of the current and future distribution of the West Nile v...
    Go to citation Crossref Google Scholar
  233. Towards a Sustainable One Health Approach to Crimean–Congo Hemorrhagic...
    Go to citation Crossref Google Scholar
  234. A Guide to COVID‐19: a global pandemic caused by the novel coronavirus...
    Go to citation Crossref Google Scholar
  235. Bayesian compartmental models and associated reproductive numbers for ...
    Go to citation Crossref Google Scholar
  236. Detecting the Coronavirus (COVID-19)
    Go to citation Crossref Google Scholar
  237. Outbreak dynamics of COVID-19 in Europe and the effect of travel restr...
    Go to citation Crossref Google Scholar
  238. Estimation of basic reproduction number for COVID‐19 and the reasons f...
    Go to citation Crossref Google Scholar
  239. A Review of Multi‐Compartment Infectious Disease Models
    Go to citation Crossref Google Scholar
  240. Age influences the thermal suitability of Plasmodium fal...
    Go to citation Crossref Google Scholar
  241. Estimation of time-varying reproduction numbers underlying epidemiolog...
    Go to citation Crossref Google Scholar
  242. Accounting for Underreporting in Mathematical Modeling of Transmission...
    Go to citation Crossref Google Scholar
  243. Integration of spatialization and individualization: the future of epi...
    Go to citation Crossref Google Scholar
  244. Addressing the Impact of the Coronavirus Disease 2019 (COVID-19) Pande...
    Go to citation Crossref Google Scholar
  245. Stemming cholera tides in Zimbabwe through mass vaccination
    Go to citation Crossref Google Scholar
  246. A Mathematical Model of Epidemics—A Tutorial for Students
    Go to citation Crossref Google Scholar
  247. Bronchoscopy in the Age of COVID-19
    Go to citation Crossref Google Scholar
  248. Metapopulation Network Models for Understanding, Predicting, and Manag...
    Go to citation Crossref Google Scholar
  249. COVID-19 is a New Challenge for Dental Practitioners: Advice on Patien...
    Go to citation Crossref Google Scholar
  250. Inferring generation-interval distributions from contact-tracing data
    Go to citation Crossref Google Scholar
  251. A new zoonotic visceral leishmaniasis dynamic transmission model with ...
    Go to citation Crossref Google Scholar
  252. Mathematical modeling and analysis with various parameters, for infect...
    Go to citation Crossref Google Scholar
  253. The Virulence Index: A Metric for Quantitative Analysis of Phage Virul...
    Go to citation Crossref Google Scholar
  254. Organization at criticality enables processing of time‐varying signals...
    Go to citation Crossref Google Scholar
  255. Modeling Periodic HFMD with the Effect of Vaccination in Mainland Chin...
    Go to citation Crossref Google Scholar
  256. Statistical Modeling of HIV Transmission
    Go to citation Crossref Google Scholar
  257. Modeling the Stochastic Dynamics of Influenza Epidemics with Vaccinati...
    Go to citation Crossref Google Scholar
  258. Epidemiology, Risk Factors, and Outcomes of Respiratory Syncytial Viru...
    Go to citation Crossref Google Scholar
  259. DeepCOVIDNet: An Interpretable Deep Learning Model for Predictive Surv...
    Go to citation Crossref Google Scholar
  260. Public Health Intervention Framework for Reviving Economy Amid the COV...
    Go to citation Crossref Google Scholar
  261. Non Pharmaceutical Interventions, Hospital Overload and Excess Mortali...
    Go to citation Crossref Google Scholar
  262. Non Pharmaceutical Interventions, Hospital Overload and Excess Mortali...
    Go to citation Crossref Google Scholar
  263. Human-Animal Interaction and the Emergence of SARS-CoV-2
    Go to citation Crossref Google Scholar
  264. A Generalized Overview of SARS-CoV-2: Where Does the Current Knowledge...
    Go to citation Crossref Google Scholar
  265. Impact of lockdown during COVID-19 pandemic and its advantages
    Go to citation Crossref Google Scholar
  266. A Review of Pandemics
    Go to citation Crossref Google Scholar
  267. The asymptotic profile of a dengue fever model on a periodically evolv...
    Go to citation Crossref Google Scholar
  268. Spatially Adjusted Time-varying Reproductive Numbers: Understanding th...
    Go to citation Crossref Google Scholar
  269. Spatiotemporal multi-disease transmission dynamic measure for emerging...
    Go to citation Crossref Google Scholar
  270. The effect of group A streptococcal carrier on the epidemic model of a...
    Go to citation Crossref Google Scholar
  271. Impact of a Live Attenuated Classical Swine Fever Virus Introduced to ...
    Go to citation Crossref Google Scholar
  272. A Longitudinal Case Study on Dissemination of ST398 Methicillin-Resist...
    Go to citation Crossref Google Scholar
  273. A highly invasive chimeric ranavirus can decimate tadpole populations ...
    Go to citation Crossref Google Scholar
  274. Thermal biology of mosquito‐borne disease
    Go to citation Crossref Google Scholar
  275. Efficacy of Isolation as a Control Strategy for Ebola Outbreaks in Com...
    Go to citation Crossref Google Scholar
  276. Epidemic Forest: A Spatiotemporal Model for Communicable Diseases
    Go to citation Crossref Google Scholar
  277. Simultaneous Detection and Differentiation between Wild-Type and Vacci...
    Go to citation Crossref Google Scholar
  278. Maternal Leishmania infantum infection status has significant impact o...
    Go to citation Crossref Google Scholar
  279. Temporal dynamics of Middle East respiratory syndrome coronavirus in t...
    Go to citation Crossref Google Scholar
  280. Dengue transmission: mathematical model with discrete time delays and ...
    Go to citation Crossref Google Scholar
  281. Complexity of the Basic Reproduction Number (R 0 ...
    Go to citation Crossref Google Scholar
  282. Comparison of methods to Estimate Basic Reproduction Number (R ...
    Go to citation Crossref Google Scholar
  283. Robustness of the reproductive number estimates in vector-borne diseas...
    Go to citation Crossref Google Scholar
  284. Effects of desiccation stress on adult female longevity in Aedes aegyp...
    Go to citation Crossref Google Scholar
  285. Critical Examination of Approaches Exploited to Assess the Effectivene...
    Go to citation Crossref Google Scholar
  286. Analysis of a fractional SEIR model with treatment
    Go to citation Crossref Google Scholar
  287. Analysis of fractional-order models for hepatitis B
    Go to citation Crossref Google Scholar
  288. Temperature explains broad patterns of Ross River virus transmission
    Go to citation Crossref Google Scholar
  289. Hard ticks as vectors—some basic issues
    Go to citation Crossref Google Scholar
  290. A dynamic vaccination strategy to suppress the recurrent epidemic outb...
    Go to citation Crossref Google Scholar
  291. Noise Is Not Error: Detecting Parametric Heterogeneity Between Epidemi...
    Go to citation Crossref Google Scholar
  292. West Nile virus and other mosquito-borne viruses present in Eastern Eu...
    Go to citation Crossref Google Scholar
  293. The basic reproductive ratio as a link between acquisition and change ...
    Go to citation Crossref Google Scholar
  294. References
    Go to citation Crossref Google Scholar
  295. Population Genomics of Human Viruses
    Go to citation Crossref Google Scholar
  296. R 0
    Go to citation Crossref Google Scholar
  297. Community Protection
    Go to citation Crossref Google Scholar
  298. Determinants of Short-term Movement in a Developing Region and Implica...
    Go to citation Crossref Google Scholar
  299. Viral Richness is Positively Related to Group Size, but Not Mating Sys...
    Go to citation Crossref Google Scholar
  300. Measles
    Go to citation Crossref Google Scholar
  301. Modelling West Nile virus transmission risk in Europe: effect of tempe...
    Go to citation Crossref Google Scholar
  302. Estimating the Basic Reproductive Number for African Swine Fever Using...
    Go to citation Crossref Google Scholar
  303. RETRACTED ARTICLE: Fractional-order scheme for bovine babesiosis disea...
    Go to citation Crossref Google Scholar
  304. Attacking the mosquito on multiple fronts: Insights from the Vector Co...
    Go to citation Crossref Google Scholar
  305. The basic reproductive number estimated from a Mycoplasma conjunctivae...
    Go to citation Crossref Google Scholar
  306. Sampling of temporal networks: Methods and biases
    Go to citation Crossref Google Scholar
  307. Estimating the fitness cost and benefit of cefixime resistance in Neis...
    Go to citation Crossref Google Scholar
  308. Resistance, tolerance and environmental transmission dynamics determin...
    Go to citation Crossref Google Scholar
  309. Interdisciplinary pharmacometrics linking oseltamivir pharmacology, in...
    Go to citation Crossref Google Scholar
  310. A discrete epidemic model for bovine Babesiosis disease and tick popul...
    Go to citation Crossref Google Scholar
  311. Estimating Loss of Brucella Abortus Antibodies from Age-Specific Serol...
    Go to citation Crossref Google Scholar
  312. Spatially-implicit modelling of disease-behaviour interactions in the ...
    Go to citation Crossref Google Scholar
  313. Estimation of Time-Dependent Reproduction Numbers for Porcine Reproduc...
    Go to citation Crossref Google Scholar
  314. Edge-based SEIR dynamics with or without infectious force in latent pe...
    Go to citation Crossref Google Scholar
  315. Disease spread in age structured populations with maternal age effects
    Go to citation Crossref Google Scholar
  316. Inference and forecast of H7N9 influenza in China, 2013 to 2015
    Go to citation Crossref Google Scholar
  317. Mathematical Models for the Epidemiology and Evolution of Mycobacteriu...
    Go to citation Crossref Google Scholar
  318. Fundamentals of Mathematical Models of Infectious Diseases and Their A...
    Go to citation Crossref Google Scholar
  319. A Mathematical Model to Analyze Spread of Hemorrhagic Disease in White...
    Go to citation Crossref Google Scholar
  320. Dengue burden in India: recent trends and importance of climatic param...
    Go to citation Crossref Google Scholar
  321. Structure in the variability of the basic reproductive number (R0) for...
    Go to citation Crossref Google Scholar
  322. Estimation of reproduction number of dengue transmission in a partiall...
    Go to citation Crossref Google Scholar
  323. Epidemics
    Go to citation Crossref Google Scholar
  324. Mathematical model of plant-virus interactions mediated by RNA interfe...
    Go to citation Crossref Google Scholar
  325. MODELING VACCINE PREVENTABLE VECTOR-BORNE INFECTIONS: YELLOW FEVER AS ...
    Go to citation Crossref Google Scholar
  326. Microparasitic disease dynamics in benthic suspension feeders: Infecti...
    Go to citation Crossref Google Scholar
  327. The Interaction between Vector Life History and Short Vector Life in V...
    Go to citation Crossref Google Scholar
  328. Identifying Malaria Transmission Foci for Elimination Using Human Mobi...
    Go to citation Crossref Google Scholar
  329. Marine infectious disease dynamics and outbreak thresholds: contact tr...
    Go to citation Crossref Google Scholar
  330. Analysis and Control of Epidemics: A Survey of Spreading Processes on ...
    Go to citation Crossref Google Scholar
  331. Disease Outbreaks: Critical Biological Factors and Control Strategies
    Go to citation Crossref Google Scholar
  332. Challenges in Implementing Ebola Protection Procedures and Personal Pr...
    Go to citation Crossref Google Scholar
  333. Grippe et grossesse
    Go to citation Crossref Google Scholar
  334. Statistical Inference on a Stochastic Epidemic Model
    Go to citation Crossref Google Scholar
  335. Epidemiology
    Go to citation Crossref Google Scholar
  336. Historic Disease Data as Epidemiological Resource: Searching for the O...
    Go to citation Crossref Google Scholar
  337. Integrated cluster- and case-based surveillance for detecting stage II...
    Go to citation Crossref Google Scholar
  338. HIV Cascade Monitoring and Simple Modeling Reveal Potential for Reduct...
    Go to citation Crossref Google Scholar
  339. Implications of a dynamical-network's graph on the estimability of its...
    Go to citation Crossref Google Scholar
  340. Grippe et grossesse
    Go to citation Crossref Google Scholar
  341. Spatial Heterogeneity, Host Movement and Mosquito-Borne Disease Transm...
    Go to citation Crossref Google Scholar
  342. The Basic Reproduction Number as a Predictor for Epidemic Outbreaks in...
    Go to citation Crossref Google Scholar
  343. Mapping Medical Disasters: Ebola Makes Old Lessons, New
    Go to citation Crossref Google Scholar
  344. Applications of Single-Type Branching Processes
    Go to citation Crossref Google Scholar
  345. What is Ebola?
    Go to citation Crossref Google Scholar
  346. A Bayesian Inferential Approach to Quantify the Transmission Intensity...
    Go to citation Crossref Google Scholar
  347. A Fractional-Order Epidemic Model for Bovine Babesiosis Disease and Ti...
    Go to citation Crossref Google Scholar
  348. Understanding uncertainty in temperature effects on vector‐borne disea...
    Go to citation Crossref Google Scholar
  349. 4Flu - an individual based simulation tool to study the effects of qua...
    Go to citation Crossref Google Scholar
  350. Estimating the basic reproduction number from surveillance data on pas...
    Go to citation Crossref Google Scholar
  351. Within herd transmission and evaluation of the performance of clinical...
    Go to citation Crossref Google Scholar
  352. Directionality Theory and the Entropic Principle of Natural Selection
    Go to citation Crossref Google Scholar
  353. Reproduction Number
    Go to citation Crossref Google Scholar
  354. Epidemics
    Go to citation Crossref Google Scholar
  355. SIR Epidemic Models
    Go to citation Crossref Google Scholar
  356. Communicable Diseases
    Go to citation Crossref Google Scholar
  357. Analytic Calculation of Finite-Population Reproductive Numbers for Dir...
    Go to citation Crossref Google Scholar
  358. Ecological Approaches to Studying Zoonoses
    Go to citation Crossref Google Scholar
  359. Recasting the theory of mosquito-borne pathogen transmission dynamics ...
    Go to citation Crossref Google Scholar
  360. Survey of poliovirus antibodies in Kano, Northern Nigeria
    Go to citation Crossref Google Scholar
  361. Epidemic dynamics of a vector-borne disease on a villages-and-city sta...
    Go to citation Crossref Google Scholar
  362. Estimation of the HIV Basic Reproduction Number in Rural South West Ug...
    Go to citation Crossref Google Scholar
  363. Conclusions and Outlook
    Go to citation Crossref Google Scholar
  364. Measuring Changes in Plasmodium falciparum Transmission
    Go to citation Crossref Google Scholar
  365. AN OPTIMAL INFECTION DETERRENCE MODEL OF FOOT-AND-MOUTH DISEASE
    Go to citation Crossref Google Scholar
  366. Rethinking centrality: The role of dynamical processes in social netwo...
    Go to citation Crossref Google Scholar
  367. Stochastic model of porcine reproductive and respiratory syndrome viru...
    Go to citation Crossref Google Scholar
  368. Cholera in Haiti: Reproductive numbers and vaccination coverage estima...
    Go to citation Crossref Google Scholar
  369. Modeling highly pathogenic avian influenza transmission in wild birds ...
    Go to citation Crossref Google Scholar
  370. Ecological Approaches to Studying Zoonoses
    Go to citation Crossref Google Scholar
  371. A Realistic Host-Vector Transmission Model for Describing Malaria Prev...
    Go to citation Crossref Google Scholar
  372. Transmission-blocking interventions eliminate malaria from laboratory ...
    Go to citation Crossref Google Scholar
  373. A simple model for the establishment of tick-borne pathogens of Ixodes...
    Go to citation Crossref Google Scholar
  374. Using simulation to establish appropriate vaccination rates and copaym...
    Go to citation Crossref Google Scholar
  375. Estimation of the reproduction number of salmon pancreas disease virus...
    Go to citation Crossref Google Scholar
  376. Historical Epidemiology of the Second Cholera Pandemic: Relevance to P...
    Go to citation Crossref Google Scholar
  377. Extrinsic Incubation Period of Dengue: Knowledge, Backlog, and Applica...
    Go to citation Crossref Google Scholar
  378. A Sign of Superspreading in Tuberculosis
    Go to citation Crossref Google Scholar
  379. A stochastic SIR epidemic on scale-free network with community structu...
    Go to citation Crossref Google Scholar
  380. Community immunity
    Go to citation Crossref Google Scholar
  381. Choosing pandemic parameters for pandemic preparedness planning: A com...
    Go to citation Crossref Google Scholar
  382. Optimal temperature for malaria transmission is dramatically lower tha...
    Go to citation Crossref Google Scholar
  383. Responding to Pertussis
    Go to citation Crossref Google Scholar
  384. The R0 package: a toolbox to estimate reproduction numbers for epidemi...
    Go to citation Crossref Google Scholar
  385. On estimating the basic reproduction number in distinct stages of a co...
    Go to citation Crossref Google Scholar
  386. Early Real-Time Estimation of the Basic Reproduction Number of Emergin...
    Go to citation Crossref Google Scholar
  387. Vectorial capacity, basic reproduction number, force of infection and ...
    Go to citation Crossref Google Scholar
  388. Infectious diseases and endogenous fluctuations
    Go to citation Crossref Google Scholar
  389. A generalized cholera model and epidemic–endemic analysis
    Go to citation Crossref Google Scholar
  390. Estimating the transmission potential of supercritical processes based...
    Go to citation Crossref Google Scholar
  391. A mathematical model for Babesiosis disease in bovine and tick populat...
    Go to citation Crossref Google Scholar
  392. Mathematical Models of Infectious Diseases in Livestock: Concepts and ...
    Go to citation Crossref Google Scholar
  393. Think About Data Analysis When Planning a Study
    Go to citation Crossref Google Scholar
  394. On the Epidemic of Financial Crises
    Go to citation Crossref Google Scholar
  395. Parameter estimation and uncertainty quantification for an epidemic mo...
    Go to citation Crossref Google Scholar
  396. Travel risk, malaria importation and malaria transmission in Zanzibar
    Go to citation Crossref Google Scholar
  397. A new world malaria map: Plasmodium falciparum endemicity in 2010
    Go to citation Crossref Google Scholar
  398. Modelling the global constraints of temperature on transmission of Pla...
    Go to citation Crossref Google Scholar
  399. MMR vaccine effectiveness in an outbreak that involved day-care and pr...
    Go to citation Crossref Google Scholar
  400. Transmission parameters of the A/H1N1 (2009) influenza virus pandemic:...
    Go to citation Crossref Google Scholar
  401. Parasite Transmission in Social Interacting Hosts: Monogenean Epidemic...
    Go to citation Crossref Google Scholar
  402. Transmisibilidad y gravedad de la pandemia de gripe A(H1N1)2009 en Esp...
    Go to citation Crossref Google Scholar
  403. Estimating the reproductive numbers for the 2008–2009 cholera outbreak...
    Go to citation Crossref Google Scholar
  404. Does the early frog catch the worm? Disentangling potential drivers of...
    Go to citation Crossref Google Scholar
  405. Evaluating the effectiveness of early vaccination in the control and e...
    Go to citation Crossref Google Scholar
  406. Mathematical Immunology of Infectious Diseases
    Go to citation Crossref Google Scholar
  407. Health service resource needs for pandemic influenza in developing cou...
    Go to citation Crossref Google Scholar
  408. Stability analysis and application of a mathematical cholera model
    Go to citation Crossref Google Scholar
  409. A quantitative analysis of transmission efficiency versus intensity fo...
    Go to citation Crossref Google Scholar
  410. Mortality threshold for juvenile Chinook salmon Oncorhynchus tshawytsc...
    Go to citation Crossref Google Scholar
  411. A framework for assessing the feasibility of malaria elimination
    Go to citation Crossref Google Scholar
  412. Assessing the future threat from vivax malaria in the United Kingdom u...
    Go to citation Crossref Google Scholar
  413. É possível controlar a dengue?
    Go to citation Crossref Google Scholar
  414. Ranking of elimination feasibility between malaria-endemic countries
    Go to citation Crossref Google Scholar
  415. Transmission Dynamics of Highly Pathogenic Avian Influenza at Lake Con...
    Go to citation Crossref Google Scholar
  416. Influence of climate on malaria transmission depends on daily temperat...
    Go to citation Crossref Google Scholar
  417. Emergence of viral diseases: mathematical modeling as a tool for infec...
    Go to citation Crossref Google Scholar
  418. Tracking Cholera in Coastal Regions Using Satellite Observations ...
    Go to citation Crossref Google Scholar
  419. Metaphylactic Antimicrobial Therapy for Bovine Respiratory Disease in ...
    Go to citation Crossref Google Scholar
  420. Theory of Infectious Disease Transmission and Control
    Go to citation Crossref Google Scholar
  421. Incidence of 2009 pandemic influenza A H1N1 infection in England: a cr...
    Go to citation Crossref Google Scholar
  422. Correcting the Actual Reproduction Number: A Simple Method to Estimate...
    Go to citation Crossref Google Scholar
  423. Demographics of cattle positive for Mycobacterium avium subspecies par...
    Go to citation Crossref Google Scholar
  424. Predicting changing malaria risk after expanded insecticide-treated ne...
    Go to citation Crossref Google Scholar
  425. Estimation of R 0 from the i...
    Go to citation Crossref Google Scholar
  426. The structural identifiability of susceptible–infective–recovered type...
    Go to citation Crossref Google Scholar
  427. Dynamics of Indirectly Transmitted Infectious Diseases with Immunologi...
    Go to citation Crossref Google Scholar
  428. Modeling the Population Level Effects of an HIV-1 Vaccine in an Era of...
    Go to citation Crossref Google Scholar
  429. Imported and autochthonous cases in the dynamics of dengue epidemics i...
    Go to citation Crossref Google Scholar
  430. The Basic Reproduction Number of Infectious Diseases: Computation and ...
    Go to citation Crossref Google Scholar
  431. Two Critical Issues in Quantitative Modeling of Communicable Diseases:...
    Go to citation Crossref Google Scholar
  432. The Effective Reproduction Number as a Prelude to Statistical Estimati...
    Go to citation Crossref Google Scholar
  433. Impact of public health interventions in controlling the spread of SAR...
    Go to citation Crossref Google Scholar
  434. METHODS FOR DETERMINING QUARANTINE PERIOD OF INFECTIOUS DISEASES : EST...
    Go to citation Crossref Google Scholar
  435. Spatial modelling of the potential temperature-dependent transmission ...
    Go to citation Crossref Google Scholar
  436. Extracting key information from historical data to quantify the transm...
    Go to citation Crossref Google Scholar
  437. Modeling the effects of drug resistant influenza virus in a pandemic
    Go to citation Crossref Google Scholar
  438. Supply Chain Coordination and Influenza Vaccination
    Go to citation Crossref Google Scholar
  439. The state-reproduction number for a multistate class age structured ep...
    Go to citation Crossref Google Scholar
  440. Mapping the potential temperature-dependent tertian malaria transmissi...
    Go to citation Crossref Google Scholar
  441. The elimination of Chagas' disease from Brazil
    Go to citation Crossref Google Scholar
  442. Directly transmitted viral diseases: modeling the dynamics of transmis...
    Go to citation Crossref Google Scholar
  443. Complete treatment of uncertainties in a model for dengue R0 estimatio...
    Go to citation Crossref Google Scholar
  444. Quantifying the transmission potential of pandemic influenza
    Go to citation Crossref Google Scholar
  445. An exploratory method for estimating the changing speed of epidemic wa...
    Go to citation Crossref Google Scholar
  446. Community immunity
    Go to citation Crossref Google Scholar
  447. Dengue Virus–Mosquito Interactions
    Go to citation Crossref Google Scholar
  448. Time variations in the transmissibility of pandemic influenza in Pruss...
    Go to citation Crossref Google Scholar
  449. A Spatial Variant of the Basic Reproduction Number for the New Orleans...
    Go to citation Crossref Google Scholar
  450. Pilot-study on GIS-based risk modelling of a climate warming induced t...
    Go to citation Crossref Google Scholar
  451. Infectiousness of smallpox relative to disease age: estimates based on...
    Go to citation Crossref Google Scholar
  452. Estimates of the reproduction numbers of Spanish influenza using morbi...
    Go to citation Crossref Google Scholar
  453. Bayesian inference for stochastic epidemic models with time-inhomogene...
    Go to citation Crossref Google Scholar
  454. Evidence of a decline in transmitted HIV-1 drug resistance in the Unit...
    Go to citation Crossref Google Scholar
  455. Klima wandel und Malaria
    Go to citation Crossref Google Scholar
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