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Global stability and persistence of HIV models with switching parameters and pulse control

Author

Listed:
  • Wang, Xiying
  • Liu, Xinzhi
  • Xie, Wei-chau
  • Xu, Wei
  • Xu, Yong

Abstract

This paper studies some HIV (Human Immunodeficiency Virus) models with switching parameters and pulse control. By taking into account of the effects of reverse transcriptase inhibitor (RTI) drugs, protease inhibitor (PI) drugs and the variable transmission rate, we propose a new HIV model with switching parameters and derive a general threshold value that measures the persistence of the disease. Furthermore, pulse vaccination is applied to the HIV model and some novel threshold conditions are established to ensure the existence and stability of the periodic infection-free solution. In contrast to the standard HIV models, it is shown that our proposed models are more practical and useful. Moreover, pulse vaccination strategies are proven to be more effective in determining whether or not the disease is eradicated. Numerical simulations are carried out to illustrate the effectiveness of the obtained results, and future research directions are suggested.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:123:y:2016:i:c:p:53-67
    DOI: 10.1016/j.matcom.2015.12.008
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    References listed on IDEAS

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    1. Huang, Zaitang & Yang, Qigui & Cao, Junfei, 2011. "Complex dynamics in a stochastic internal HIV model," Chaos, Solitons & Fractals, Elsevier, vol. 44(11), pages 954-963.
    2. 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.
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    Cited by:

    1. Konstantin E. Starkov & Anatoly N. Kanatnikov, 2021. "Eradication Conditions of Infected Cell Populations in the 7-Order HIV Model with Viral Mutations and Related Results," Mathematics, MDPI, vol. 9(16), pages 1-14, August.

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