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Mathematical analysis of an HIV model with impulsive antiretroviral drug doses

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  • Gao, Ting
  • Wang, Wendi
  • Liu, Xianning

Abstract

In this paper, we incorporate the periodic therapy from antiretroviral drugs for HIV into the standard within-host virus model, and study the stability and bifurcation of the system. It is shown that when the basic reproduction number of virus is less than one, there is an infection-free equilibrium which is globally stable. Further, if it is greater than one, the HIV infection is uniformly persistent. Besides, subharmonic bifurcation occurs under suitable conditions, and chaotic attractor may emerge through period doubling routes, which can be used to explain the HIV patients’ unpredictable unstable health states, even after a long and hard treatment.

Suggested Citation

  • Gao, Ting & Wang, Wendi & Liu, Xianning, 2011. "Mathematical analysis of an HIV model with impulsive antiretroviral drug doses," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(4), pages 653-665.
    • Handle: RePEc:eee:matcom:v:82:y:2011:i:4:p:653-665
    DOI: 10.1016/j.matcom.2011.10.007
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    References listed on IDEAS

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    1. Iwami, Shingo & Nakaoka, Shinji & Takeuchi, Yasuhiro, 2008. "Viral diversity limits immune diversity in asymptomatic phase of HIV infection," Theoretical Population Biology, Elsevier, vol. 73(3), pages 332-341.
    2. Wang, Kaifa & Wang, Wendi & Liu, Xianning, 2006. "Viral infection model with periodic lytic immune response," Chaos, Solitons & Fractals, Elsevier, vol. 28(1), pages 90-99.
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    Cited by:

    1. Dubey, Preeti & Dubey, Uma S. & Dubey, Balram, 2018. "Modeling the role of acquired immune response and antiretroviral therapy in the dynamics of HIV infection," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 144(C), pages 120-137.
    2. Wang, Xiying & Liu, Xinzhi & Xie, Wei-chau & Xu, Wei & Xu, Yong, 2016. "Global stability and persistence of HIV models with switching parameters and pulse control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 123(C), pages 53-67.

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