Mathematical analysis of generalized virus dynamics model with saturated incidence rate and CTL immune response

It is well known that the mathematical biology and dynamical systems give very important information for the study and research of viral infection models such as HIV, HBV, HCV, Ebola and Influenza. In this paper, sufficient conditions for the global stability of equilibrium points of a system will be obtained by using Lyapunov’s second method and LaSalle’s invariance principle. We prove the global stability of the rest points of the system by the value of basic reproduction number and the immune response reproduction number.