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Global Stability of HIV-1 Infection Model with Two Time Delays

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  • Hui Miao
  • Xamxinur Abdurahman
  • Ahmadjan Muhammadhaji

Abstract

We investigate global dynamics for a system of delay differential equations which describes a virus-immune interaction in vivo. The model has two time delays describing time needed for infection of cell and CTLs generation. Our model admits three possible equilibria: infection-free equilibrium, CTL-absent infection equilibrium, and CTL-present infection equilibrium. The effect of time delay on stability of the equilibria of the CTL immune response model has been studied.

Suggested Citation

  • Hui Miao & Xamxinur Abdurahman & Ahmadjan Muhammadhaji, 2013. "Global Stability of HIV-1 Infection Model with Two Time Delays," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, December.
    • Handle: RePEc:hin:jnlaaa:163484
    DOI: 10.1155/2013/163484
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