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Stability and Hopf bifurcation on a model for HIV infection of CD4+ T cells with delay

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  • Wang, Xia
  • Tao, Youde
  • Song, Xinyu

Abstract

In this paper, a delayed differential equation model that describes HIV infection of CD4+ T cells is considered. The stability of the positive equilibrium and the existence of Hopf bifurcation are investigated. In succession, using the normal form theory and center manifold argument, we derive the explicit formulas which determine the stability, direction and other properties of bifurcating periodic solutions.

Suggested Citation

  • Wang, Xia & Tao, Youde & Song, Xinyu, 2009. "Stability and Hopf bifurcation on a model for HIV infection of CD4+ T cells with delay," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1838-1844.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:3:p:1838-1844
    DOI: 10.1016/j.chaos.2009.03.089
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    References listed on IDEAS

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    1. Yang, Hong-Yong & Tian, Yu-Ping, 2005. "Hopf bifurcation in REM algorithm with communication delay," Chaos, Solitons & Fractals, Elsevier, vol. 25(5), pages 1093-1105.
    2. Jerome K. Percus & Ora E. Percus & Alan S. Perelson, 1993. "Predicting the Size of the T-Cell Receptor and Antibody Combining Region from Consideration of Efficient Self-Nonself Discrimination," Working Papers 93-04-019, Santa Fe Institute.
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    Cited by:

    1. Jajarmi, Amin & Baleanu, Dumitru, 2018. "A new fractional analysis on the interaction of HIV with CD4+ T-cells," Chaos, Solitons & Fractals, Elsevier, vol. 113(C), pages 221-229.
    2. Zhan, Jinxiang & Wei, Yongchang, 2024. "Dynamical behavior of a stochastic non-autonomous distributed delay heroin epidemic model with regime-switching," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    3. Tanvi, & Aggarwal, Rajiv, 2020. "Stability analysis of a delayed HIV-TB co-infection model in resource limitation settings," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).

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