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Effects of HIV infection on CD4+ T-cell population based on a fractional-order model
Sadia,Arshad1,6; Dumitru,Baleanu2,4; Weiping Bu3; Yifa Tang(唐贻发)1,5

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.

KeywordFractional Derivative Hiv Model Finite Difference Scheme Dynamical Analysis
MOST Discipline Catalogue理学::数学
Indexed BySCI
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Document Type期刊论文
Affiliation1.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.
First Author AffilicationInstitue of Computational Mathematics and Scientific/Engineering Computing
Recommended Citation
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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