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Effects of HIV infection on CD4(+) T-cell population based on a fractional-order model
Arshad, Sadia1,6; Baleanu, Dumitru2,4; Bu, Weiping3; Tang, Yifa1,5
2017-03-29
Source PublicationADVANCES IN DIFFERENCE EQUATIONS
ISSN1687-1847
Pages14
AbstractIn 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
DOI10.1186/s13662-017-1143-0
Language英语
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000403408400001
PublisherSPRINGER INTERNATIONAL PUBLISHING AG
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/25597
Collection计算数学与科学工程计算研究所
Corresponding AuthorArshad, Sadia
Affiliation1.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
Recommended Citation
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.
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