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

Hui Miao | Zendy; Xamxinur Abdurahman | Zendy; Ahmadjan Muhammadhaji | Zendy

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

Author(s) -

Hui Miao,

Xamxinur Abdurahman,

Ahmadjan Muhammadhaji

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/163484

Subject(s) - ctl* , human immunodeficiency virus (hiv) , delay differential equation , stability (learning theory) , immune system , dynamics (music) , control theory (sociology) , virology , mathematics , immunology , differential equation , biology , computer science , physics , mathematical analysis , artificial intelligence , machine learning , control (management) , acoustics , cd8

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

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