Modeling and Analysis of an SEIRS Epidemic Model with Saturated Incidence

Adebimpe, O. and Waheed, A.A. and Gbadamosi, Babatunde (2013) Modeling and Analysis of an SEIRS Epidemic Model with Saturated Incidence. Int. Journal of Engineering Research and Application, 3 (5). pp. 1111-1116. ISSN 2248-9622

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Abstract

In this paper, an SEIRS epidemic model with nonlinear incidence rate is investigated. The model exhibits two equilibria namely, the disease-free equilibrium and the endemic equilibrium. It is shown that if the basic reproduction number, R0<1 the disease free equilibrium is locally and globally asymptotically stable. Also, we show that R0>1, the disease equilibrium is locally asymptotically stable and the disease is uniformly persisted. Some numerical simulations are given to illustrate the analytical results. Keywords: Epidemic model, nonlinear incidence rate, basic reproduction number, local and global stability

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