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Hopf Bifurcation for a Model of HIV Infection of C D 4 + T Cells with Virus Released Delay

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  • Jun-Yuan Yang
  • Xiao-Yan Wang
  • Xue-Zhi Li

Abstract

A viral model of HIV infection of C D 4 + T-cells with virus released period is formulated, and the effect of this released period on the stability of the equilibria is investigated. It is shown that the introduction of the viral released period can destabilize the system, and the period solution may arise. The direction and stability of the Hopf bifurcation are also discussed. Numerical simulations are presented to illustrate the results.

Suggested Citation

  • Jun-Yuan Yang & Xiao-Yan Wang & Xue-Zhi Li, 2011. "Hopf Bifurcation for a Model of HIV Infection of C D 4 + T Cells with Virus Released Delay," Discrete Dynamics in Nature and Society, Hindawi, vol. 2011, pages 1-24, May.
    • Handle: RePEc:hin:jnddns:649650
    DOI: 10.1155/2011/649650
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    Cited by:

    1. Shi, Ruiqing & Lu, Ting & Wang, Cuihong, 2021. "Dynamic analysis of a fractional-order model for HIV with drug-resistance and CTL immune response," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 188(C), pages 509-536.

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