Global properties of a class of models for HIV infection of CD4+ T cells and macrophages
Küçük Resim Yok
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Global stability, Direct Lyapunov method, Controllability, HIV/AIDS
Kaynak
International Conference on Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Elaiw, 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.
