Hopf Bifurcation for a Model of HIV Infection ofCD4+T Cells with Virus Released Delay | Zendy

Junyuan Yang | Zendy; Xiaoyan Wang | Zendy; Xuezhi Li | Zendy

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Hopf Bifurcation for a Model of HIV Infection ofCD4+T Cells with Virus Released Delay

Author(s) -

Junyuan Yang,

Xiaoyan Wang,

Xuezhi Li

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 - 10.1155/2011/649650

Subject(s) - hopf bifurcation , stability (learning theory) , bifurcation , period (music) , virus , human immunodeficiency virus (hiv) , algorithm , computer science , physics , virology , biology , machine learning , quantum mechanics , nonlinear system , acoustics

A viral model of HIV infection of CD4+ T-cells with virus released period is formulated, and the effect of this released period on the stability of the equilibria is investigated. It is shown that the introduction of the viral released period can destabilize the system, and the period solution may arise. The direction and stability of the Hopf bifurcation are also discussed. Numerical simulations are presented to illustrate the results

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