Mathematical analysis of the global dynamics of a model for HIV infection of CD4+ T cells.
A mathematical model that describes HIV infection of CD4(+) T cells is analyzed. Global dynamics of the model is rigorously established. We prove that, if the basic reproduction number R(0) < or = 1, the HIV infection is cleared from the T-cell population; if R(0) > 1, the HIV infection persists. For an open set of parameter values, the chronic-infection equilibrium P* can be unstable and periodic solutions may exist. We establish parameter regions for which P* is globally stable.
Wang
Liancheng
L
Department of Mathematics, Kennesaw State University, Kennesaw, GA 30144, USA.
Li
Michael Y
MY
Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, Alberta, Canada T6G 2G1. Electronic address: mli@math.ualberta.ca.
D000465:Algorithms; D015496:CD4-Positive T-Lymphocytes / Q000276:immunology / Q000821:virology*; D003198:Computer Simulation; D006678:HIV / Q000276:immunology / Q000472:pathogenicity; D015658:HIV Infections / Q000276:immunology / Q000821:virology*; D006801:Humans; D008954:Models, Biological; D019562:Viral Load