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

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 reprod...

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Bibliographic Details
Published in:Discrete Dynamics in Nature and Society 2011-01, Vol.2011 (2011), p.1211-1223
Main Authors: Li, Yunfei, Xu, Rui, Li, Zhe, Mao, Shuxue
Format: Article
Language:English
Subjects:
Computational biology
Development and progression
Disease transmission
Health aspects
HIV infection
Immune response
Physiological aspects
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Summary: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.
ISSN:1026-0226
1607-887X
DOI:10.1155/2011/673843