Nonlinear Dynamics and Chaos in a Fractional-Order HIV Model

被引：34
作者：
Ye, Haiping [1 ,2 ]
Ding, Yongsheng [1 ,3 ]
机构：
[1] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China
[2] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China
[3] Donghua Univ, Engn Res Ctr Digitized Text & Fash Technol, Minist Educ, Shanghai 201620, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2009年 / 2009卷
关键词：
DIFFERENTIAL-EQUATIONS; IMMUNE-RESPONSES; STABILITY;
D O I：
10.1155/2009/378614
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We introduce fractional order into an HIV model. We consider the effect of viral diversity on the human immune system with frequency dependent rate of proliferation of cytotoxic T-lymphocytes (CTLs) and rate of elimination of infected cells by CTLs, based on a fractional-order differential equation model. For the one-virus model, our analysis shows that the interior equilibrium which is unstable in the classical integer-order model can become asymptotically stable in our fractional-order model and numerical simulations confirm this. We also present simulation results of the chaotic behaviors produced from the fractional-order HIV model with viral diversity by using an Adams-type predictor-corrector method. Copyright (C) 2009 H. Ye and Y. Ding.
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页数：12
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