Global dynamics of a virus dynamical model with general incidence rate and cure rate

A virus dynamical model with general incidence rate and cure rate is proposed and analyzed. The system always admits a virus free equilibrium, which is shown to be globally asymptotically stable if the basic reproduction number R0⩽1R0⩽1 by using the method of Lyapunov function. And there is a unique endemic equilibrium, which is locally asymptotically stable, if R0>1R0>1. Further, its global asymptotic stability is established by ruling out periodic solutions and using the Poincaré–Bendixson property for three dimensional competitive systems. The model and mathematical results in [K. Hattaf, N. Yousfi, A. Tridan, Mathematical analysis of a virus dynamics model with general incidence rate and cure rate, Nonlinear Anal. RWA 13 (2012) 1866–1872] are generalized.