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- W2898447963 abstract "Abstract We study an SIS epidemic model with a constant recruitment. The disease-related death is included in the model and total population size is variable. A vaccination program also affects both new members and susceptible individuals. Two equilibria of the model; the disease-free equilibrium (DFE) and the endemic equilibrium (EE), and the basic reproduction number R 0 , are obtained. It is shown that DFE is locally and also globally asymptotically stable if R 0 1 . Furthermore, it is proven that EE is locally asymptotically stable when R 0 > 1 . In addition, in this case some conditions for global asymptotic stability of EE are found by using Lyapunov’s direct method. Finally, some numerical simulations are presented to verify obtained theoretical results." @default.
- W2898447963 created "2018-11-02" @default.
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- W2898447963 date "2018-12-01" @default.
- W2898447963 modified "2023-09-25" @default.
- W2898447963 title "Global dynamics of an epidemic model with standard incidence rate and vaccination strategy" @default.
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- W2898447963 doi "https://doi.org/10.1016/j.chaos.2018.10.022" @default.
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