Mathematical Analysis of the Global Dynamics of a Model for HIV Infection of CD4+ T Cells

Authors

Liancheng Wang, Kennesaw State UniversityFollow
Michael Y. Li, University of Alberta

Department

Mathematics

Document Type

Article

Publication Date

3-2006

Abstract

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 R₀ 1, the HIV infection is cleared from the T-cell population; if R₀ > 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.