Global Stability for a Viral Infection Model with Saturated Incidence Rate

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 $\beta xv/(1+\alpha v)$. The existence and uniqueness of equilibrium are proved. The basic reproductive number $R_{\mathrm{0}}$ 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.