Global Stability for a Viral Infection Model with Saturated Incidence Rate

Huaqin Peng and Zhiming Guo

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

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 . The existence and uniqueness of equilibrium are proved. The basic reproductive number 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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:187897

DOI: 10.1155/2014/187897

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