Global Dynamics of Viral Model with Saturated Loss of Infected Cellls

It is well-known that the mathematical models provide very important information for the research of human immunodeficiency virus-type 1 and hepatitis C virus (HCV) . The infected T cells can remain latent and harbor virus for several years before virus production occurs. In this period, the loss of infected T cell is not simple linear interaction. In this paper, we consider the classical mathematical model with saturated loss of infected cells. Our analysis establishes that the global dynamics of T cells are completely determined by a basic reproduction number R0. If R0≤1, infected T cells always die out. If R0＞1, the infection becomes chronic, and a unique endemic equilibrium is globally stable in the interior of the feasible region. We also consider the drug effectiveness under saturated loss of infected cellls.