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• W1973635648 abstract "In this paper, we study the global properties of a class of human immunodeficiency virus (HIV) models. The basic model is a 5-dimensional nonlinear ODEs that describes the interaction of the HIV with two target cells, CD4+ T cells and macrophages. An HIV model with exposed state and a model with nonlinear incidence rate are also analyzed. Lyapunov functions are constructed to establish the global asymptotic stability of the uninfected and infected steady states. We have proven that if the basic reproduction number R0 is less than unity, then the uninfected steady state is globally asymptotically stable. If R0>1 (or if the infected steady state exists), then the infected steady state is globally asymptotically stable. In a control system framework, we have shown that the HIV model incorporating the effect of Highly Active AntiRetroviral Therapy (HAART) is globally asymptotically controllable to the uninfected steady state." @default.
• W1973635648 created "2016-06-24" @default.
• W1973635648 creator A5075214997 @default.
• W1973635648 date "2010-08-01" @default.
• W1973635648 modified "2023-10-13" @default.
• W1973635648 title "Global properties of a class of HIV models" @default.
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• W1973635648 doi "https://doi.org/10.1016/j.nonrwa.2009.07.001" @default.
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