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Global Dynamics of a Delayed HIV-1 Infection Model with CTL Immune Response

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  • Yunfei Li
  • Rui Xu
  • Zhe Li
  • Shuxue Mao

Abstract

A delayed HIV-1 infection model with CTL immune response is investigated. By using suitable Lyapunov functionals, it is proved that the infection-free equilibrium is globally asymptotically stable if the basic reproduction ratio for viral infection is less than or equal to unity; if the basic reproduction ratio for CTL immune response is less than or equal to unity and the basic reproduction ratio for viral infection is greater than unity, the CTL-inactivated infection equilibrium is globally asymptotically stable; if the basic reproduction ratio for CTL immune response is greater than unity, the CTL-activated infection equilibrium is globally asymptotically stable.

Suggested Citation

  • Yunfei Li & Rui Xu & Zhe Li & Shuxue Mao, 2011. "Global Dynamics of a Delayed HIV-1 Infection Model with CTL Immune Response," Discrete Dynamics in Nature and Society, Hindawi, vol. 2011, pages 1-13, August.
  • Handle: RePEc:hin:jnddns:673843
    DOI: 10.1155/2011/673843
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