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
	Arshad, Sadia 1,6; Baleanu, Dumitru 2,4; Bu, Weiping 3; Tang, Yifa1,5
	2017-03-29
发表期刊	ADVANCES IN DIFFERENCE EQUATIONS
ISSN	1687-1847
页码	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
DOI	10.1186/s13662-017-1143-0
语种	英语
资助项目	National Natural Science Foundation of China[11631013] ; National Natural Science Foundation of China[11371357] ; National Natural Science Foundation of China[11601460] ; ITER-China Program[2014GB124005] ; Research Foundation of Education Commission of Hunan Province of China[16C1540]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000403408400001
出版者	SPRINGER INTERNATIONAL PUBLISHING AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/25597
专题	计算数学与科学工程计算研究所
通讯作者	Arshad, Sadia
作者单位	1.Chinese Acad Sci, ICMSEC, LSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey 3.Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China 4.Inst Space Sci, Magurele 077125, Romania 5.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 6.COMSATS Inst Informat Technol, Lahore, Pakistan
推荐引用方式 GB/T 7714	Arshad, Sadia,Baleanu, Dumitru,Bu, Weiping,et al. Effects of HIV infection on CD4(+) T-cell population based on a fractional-order model[J]. ADVANCES IN DIFFERENCE EQUATIONS,2017:14.
APA	Arshad, Sadia,Baleanu, Dumitru,Bu, Weiping,&Tang, Yifa.(2017).Effects of HIV infection on CD4(+) T-cell population based on a fractional-order model.ADVANCES IN DIFFERENCE EQUATIONS,14.
MLA	Arshad, Sadia,et al."Effects of HIV infection on CD4(+) T-cell population based on a fractional-order model".ADVANCES IN DIFFERENCE EQUATIONS (2017):14.