Global Dynamics of a Delayed HIV‐1 Infection Model with CTL Immune Response | Zendy

Yunfei Li | Zendy; Rui Xu | Zendy; Zhe Li | Zendy; Shuxue Mao | Zendy

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

Author(s) -

Yunfei Li,

Rui Xu,

Zhe Li,

Shuxue Mao

Publication year - 2011

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2011/673843

Subject(s) - ctl* , basic reproduction number , immune system , stability theory , reproduction , human immunodeficiency virus (hiv) , biology , mathematics , lyapunov function , immunology , control theory (sociology) , virology , physics , computer science , medicine , ecology , population , environmental health , control (management) , nonlinear system , quantum mechanics , artificial intelligence , cd8

A delayed HIV-1 infection model with CTL immune responseis 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 immuneresponse is greater than unity, the CTL-activated infection equilibrium is globallyasymptotically stable

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