Global stability for a viral infection model with saturated incidence rate. (English) Zbl 1406.92607

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.


92D30 Epidemiology
34D23 Global stability of solutions to ordinary differential equations
Full Text: DOI


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