Global Stability for a Viral Infection Model with Saturated Incidence Rate

Huaqin Peng and Zhiming Guo

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: A viral infection model with saturated incidence rate and viral infection with delay is derived and analyzed; the incidence rate is assumed to be a specific nonlinear form βxv/(1 + αv). The existence and uniqueness of equilibrium are proved. The basic reproductive number R0 is given. The model is divided into two cases: with or without delay. In each case, by constructing Lyapunov functionals, necessary and sufficient conditions are given to ensure the global stability of the models.

Date: 2014
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https://doi.org/10.1155/2014/187897

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:187897

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