Global Stability for a Viral Infection Model with Saturated Incidence Rate

作者:Peng, Huaqin; Guo, Zhiming*
来源:Abstract and Applied Analysis, 2014, 2014: 187897.
DOI:10.1155/2014/187897

摘要

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 beta xv/(1 alpha v). The existence and uniqueness of equilibrium are proved. The basic reproductive number R-0 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.