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

dc.contributor.authorArshad, Sadia
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorBu, Weiping
dc.contributor.authorTang, Yifa
dc.contributor.authorID56389tr_TR
dc.date.accessioned2019-12-16T13:28:38Z
dc.date.available2019-12-16T13:28:38Z
dc.date.issued2017
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümüen_US
dc.description.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.en_US
dc.description.publishedMonth3
dc.identifier.citationArshad, Sadia...et al. (2017). Effects of HIV infection on CD4(+) T-cell population based on a fractional-order model, Advances in Difference Equations.en_US
dc.identifier.doi10.1186/s13662-017-1143-0
dc.identifier.issn1687-1847
dc.identifier.urihttp://hdl.handle.net/20.500.12416/2161
dc.language.isoenen_US
dc.publisherSpringer Openen_US
dc.relation.ispartofAdvances in Difference Equationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractional Derivativeen_US
dc.subjectHIV Modelen_US
dc.subjectFinite Difference Schemeen_US
dc.subjectDynamical Analysisen_US
dc.titleEffects of HIV infection on CD4(+) T-cell population based on a fractional-order modeltr_TR
dc.titleEffects of Hiv Infection on Cd4(+) T-Cell Population Based on a Fractional-Order Modelen_US
dc.typeArticleen_US
dspace.entity.typePublication

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