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Zbl 1224.92008
Wang, Yan; Zhou, Yicang
Mathematical modeling and dynamics of HIV progression and treatment. (English)
[J] Chin. J. Eng. Math. 27, No. 3, 534-548 (2010). ISSN 1005-3085

Summary: This article presents a brief review of the modeling and dynamics of HIV infections in vivo. We introduce typical mathematical models for the interaction between CD4$^+$ T-cells and virus particles, as well as for drug therapy. We focus on theoretical results and simulations of ODEs, DDEs, integro-differential equations and impulsive differential equations. The parameter values of these models are given in a table for reader's references.

MSC 2000:: *92C60 Medical epidemiology
37N25 Dynamical systems in biology

Keywords: T-cells; drug resistance; drug therapy; time delays; asymptotic stability

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