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Global stability of an HIV-1 model with distributed intracellular delays and a combination therapy. (English) Zbl 1260.92065
Summary: Global stability is analyzed for a general mathematical model of HIV-1 pathogenesis proposed by {\it P.W. Nelson} and {\it A.S. Perelson} [Math. Biosci. 179, No. 1, 73--94 (2002; Zbl 0992.92035)]. The general model includes two distributed intracellular delays and a combination therapy with a reverse transcriptase inhibitor and a protease inhibitor. It is shown that the model exhibits a threshold dynamics: if the basic reproduction number is less than or equal to one, then the HIV-1 infection is cleared from the T-cell population; whereas if the basic reproduction number is larger than one, then the HIV-1 infection persists and the viral concentration maintains at a constant level.

92C60Medical epidemiology
34K20Stability theory of functional-differential equations
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