Global Properties of Virus Dynamics with CTL Immune Response

In this paper, the global properties of the virus dynamics model with cell-mediated immune response are studied. By means of Lyapunov functions, the global properties of the model are obtained. The virus is cleared if the basic reproduction number R_0≤1, and the virus persists in the host if R_01. Further, positive solutions of the model approach to an immune-free steady state if the immune response reproductive number R_1≤1 and to an endemic steady state if R_11.