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

Yunfei Li, Rui Xu, Zhe Li and Shuxue Mao

Discrete Dynamics in Nature and Society, 2011, vol. 2011, 1-13

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.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:673843

DOI: 10.1155/2011/673843

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