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

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  • Qianqian Li
  • Shengshan Cao
  • Xiao Chen
  • Guiquan Sun
  • Yunxi Liu
  • Zhongwei Jia

Abstract

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 ( ) by the next generation matrix and then analyzed stability of two equilibriums by constructing Lyapunov function. When , 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.

Suggested Citation

  • Qianqian Li & Shengshan Cao & Xiao Chen & Guiquan Sun & Yunxi Liu & Zhongwei Jia, 2012. "Stability Analysis of an HIV/AIDS Dynamics Model with Drug Resistance," Discrete Dynamics in Nature and Society, Hindawi, vol. 2012, pages 1-13, December.
    • Handle: RePEc:hin:jnddns:162527
    DOI: 10.1155/2012/162527
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    Cited by:

    1. Kuddus, Md Abdul & McBryde, Emma S. & Adekunle, Adeshina I. & Meehan, Michael T., 2022. "Analysis and simulation of a two-strain disease model with nonlinear incidence," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).

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