Effects of HIV infection on CD4+ T-cell population based on a fractional-order model

doi:10.1186/s13662-017-1143-0

	Effects of HIV infection on CD4+ T-cell population based on a fractional-order model
	Sadia,Arshad 1,6; Dumitru,Baleanu 2,4; Weiping Bu 3; Yifa Tang(唐贻发)1,5
	2017-05-29
发表期刊	ADVANCES IN DIFFERENCE EQUATIONS
卷号	92 期号:2017 页码:1-14
摘要	In this paper, we study the HIV infection model based on fractional derivative with particular focus on the degree of T-cell depletion that can be caused by viral cytopathicity. The arbitrary order of the fractional derivatives gives an additional degree of freedom to fit more realistic levels of CD4+ cell depletion seen in many AIDS patients. We propose an implicit numerical scheme for the fractional-order HIV model using a finite difference approximation of the Caputo derivative. The fractional system has two equilibrium points, namely the uninfected equilibrium point and the infected equilibrium point. We investigate the stability of both equilibrium points. Further we examine the dynamical behavior of the system by finding a bifurcation point based on the viral death rate and the number of new virions produced by infected CD4+ T-cells to investigate the influence of the fractional derivative on the HIV dynamics. Finally numerical simulations are carried out to illustrate the analytical results.
关键词	Fractional Derivative Hiv Model Finite Difference Scheme Dynamical Analysis
学科门类	理学::数学
DOI	10.1186/s13662-017-1143-0
URL	查看原文
收录类别	SCI
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/67
专题	计算数学与科学工程计算研究所
作者单位	1.LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China 2.Department of Mathematics, Cankaya University, Ankara, 06530, Turkey. 3.School of Mathematics and Computational Science, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan, 411105, China. 4.Institute of Space Sciences, Magurele-Bucharest, 077125, Romania. 5.School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China. 6.COMSATS Institute of Information Technology, Lahore, Pakistan.
第一作者单位	计算数学与科学工程计算研究所
推荐引用方式 GB/T 7714	Sadia,Arshad,Dumitru,Baleanu,Weiping Bu,et al. Effects of HIV infection on CD4+ T-cell population based on a fractional-order model[J]. ADVANCES IN DIFFERENCE EQUATIONS,2017,92(2017):1-14.
APA	Sadia,Arshad,Dumitru,Baleanu,Weiping Bu,&Yifa Tang.(2017).Effects of HIV infection on CD4+ T-cell population based on a fractional-order model.ADVANCES IN DIFFERENCE EQUATIONS,92(2017),1-14.
MLA	Sadia,Arshad,et al."Effects of HIV infection on CD4+ T-cell population based on a fractional-order model".ADVANCES IN DIFFERENCE EQUATIONS 92.2017(2017):1-14.

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