Stability of an SIRS Epidemic Model with Saturated Incidence Rate and Saturated Treatment Function

Authors : İrem ÇAY

Pages : 133-138

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Publication Date : 2021-12-27

Article Type : Research Paper

Abstract :In this paper the global dynamics of susceptible-infected-recovered-susceptible insert ignore into journalissuearticles values(SIRS); epidemic model with saturated incidence rate and saturated treatment function is studied. Firstly, the basic reproduction number $R_0$ is calculated and the existence of the disease-free and positive equilibria is showed. In addition, local stability of the equilibria is investigated. Then, sufficient conditions are achieved for global stability of disease-free and endemic equilibria. Finally, the numerical examples are presented to validate the theoretical results.
Keywords : Global stability, Lyapunov function, SIRS epidemic model