Global properties of a class of models for HIV infection of CD4+ T cells and macrophages
CitationElaiw, A. M. (2009). Global properties of a class of models for HIV infection of CD4+ T cells and macrophages. International Conference on Mathematical Sciences, Maltepe Üniversitesi. s. 44-45.
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.
SourceInternational Conference on Mathematical Sciences
- Makale Koleksiyonu 
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