Global stability for a viral infection model with saturated incidence rate
Summary: 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 \(\beta x v /(1 + \alpha v)\). 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.
scientific article; zbMATH DE number 7021899