Global Stability for a Viral Infection Model with Saturated Incidence Rate

الملخص EN

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.