Hopf Bifurcation for a Model of HIV Infection of CD4+ T Cells with Virus Released Delay

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...

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Bibliographic Details
Main Authors: Jun-Yuan Yang, Xiao-Yan Wang, Xue-Zhi Li
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2011/649650
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Summary: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.
ISSN:1026-0226
1607-887X