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Research ArticlesNo Access

Analysis of a fuzzy epidemic model with saturated treatment and disease transmission

    https://doi.org/10.1142/S179352451850002XCited by:8 (Source: Crossref)
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    Abstract

    In this paper, we describe an SIS epidemic model where both the disease transmission rate and treatment function are considered in saturated forms. The dynamical behavior of the system is analyzed. The system is customized by considering the disease transmission rate and treatment control as fuzzy numbers and then fuzzy expected value of the infected individuals is determined. The fuzzy basic reproduction number is investigated and a threshold condition of pathogen is derived at which the system undergoes a backward bifurcation.

    AMSC: 92D30, 34A07

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