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.
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