Global dynamics of an epidemic model with standard incidence rate and vaccination strategy

Mahmood Parsamanesh and Majid Erfanian

Chaos, Solitons & Fractals, 2018, vol. 117, issue C, 192-199

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 R0, are obtained. It is shown that DFE is locally and also globally asymptotically stable if R0<1. Furthermore, it is proven that EE is locally asymptotically stable when R0>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.

Keywords: SIS epidemic model; Vaccination; Variable population; Global stability; Lyapunov’s direct method (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:117:y:2018:i:c:p:192-199

DOI: 10.1016/j.chaos.2018.10.022

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