A fractional-order differential equation model of HIV infection of CD4+ T-cells

被引：220
作者：
Ding, Yongsheng [1 ,2 ]
Ye, Haiping [1 ,3 ]
机构：
[1] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China
[2] Donghua Univ, Minist Educ, Engn Res Ctr Digitized Text & Fash Technol, Shanghai 201620, Peoples R China
[3] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2009年 / 50卷 / 3-4期
关键词：
HIV infection; Fractional-order; Differential equation; Equilibrium; Stability; Numerical solution; Predictor-corrector method; STABILITY; DYNAMICS; SYSTEMS; CHAOS;
D O I：
10.1016/j.mcm.2009.04.019
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper, we introduce fractional-order into a model of HIV infection of CD4(+) T-cells. We show that the model established in this paper possesses non-negative solutions, as desired in any population dynamics. We also carry out a detailed analysis on the stability of equilibrium. Numerical simulations are presented to illustrate the results. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：386 / 392
页数：7
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