Stability Analysis of an HIV/AIDS Dynamics Model with Drug Resistance | Zendy

Qianqian Li | Zendy; Cao Sheng-shan | Zendy; Xiaohong Chen | Zendy; GuiQuan Sun | Zendy; Yunxi Liu | Zendy; Zhongwei Jia | Zendy

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Stability Analysis of an HIV/AIDS Dynamics Model with Drug Resistance

Author(s) -

Qianqian Li,

Cao Sheng-shan,

Xiaohong Chen,

GuiQuan Sun,

Yunxi Liu,

Zhongwei Jia

Publication year - 2012

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2012/162527

Subject(s) - algorithm , stability (learning theory) , human immunodeficiency virus (hiv) , computer science , machine learning , medicine , virology

A mathematical model of HIV/AIDS transmission incorporating treatment and drug resistance was built in this study. We firstly calculated the threshold value of the basic reproductive number (R0) by the next generation matrix and then analyzed stability of two equilibriums by constructing Lyapunov function. When R0<1, the system was globally asymptotically stable and converged to the disease-free equilibrium. Otherwise, the system had a unique endemic equilibrium which was also globally asymptotically stable. While an antiretroviral drug tried to reduce the infection rate and prolong the patients’ survival, drug resistance was neutralizing the effects of treatment in fact

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