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Stability analysis and numerical simulations of spatiotemporal HIV CD4+T cell model with drug therapy

dc.contributor.authorAhmed, Nauman
dc.contributor.authorElsonbaty, Amr
dc.contributor.authorAdel, Waleed
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorRafiq, Muhammad
dc.contributor.authorID56389tr_TR
dc.date.accessioned2020-12-31T11:27:58Z
dc.date.available2020-12-31T11:27:58Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this study, an extended spatiotemporal model of a human immunodeficiency virus (HIV) CD4+ T cell with a drug therapy effect is proposed for the numerical investigation. The stability analysis of equilibrium points is carried out for temporal and spatiotemporal cases where stability regions in the space of parameters for each case are acquired. Three numerical techniques are used for the numerical simulations of the proposed HIV reaction-diffusion system. These techniques are the backward Euler, Crank-Nicolson, and a proposed structure preserving an implicit technique. The proposed numerical method sustains all the important characteristics of the proposed HIV model such as positivity of the solution and stability of equilibria, whereas the other two methods have failed to do so. We also prove that the proposed technique is positive, consistent, and Von Neumann stable. The effect of different values for the parameters is investigated through numerical simulations by using the proposed method. The stability of the proposed model of the HIV CD4+ T cell with the drug therapy effect is also analyzed.en_US
dc.description.publishedMonth8
dc.identifier.citationAhmed, Nauman...et al. (2020). "Stability analysis and numerical simulations of spatiotemporal HIV CD4+T cell model with drug therapy", Chaos, Vol. 30, No. 8.en_US
dc.identifier.doi10.1063/5.0010541
dc.identifier.issn1054-1500
dc.identifier.issn1089-7682
dc.identifier.issue8en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4407
dc.identifier.volume30en_US
dc.language.isoenen_US
dc.relation.ispartofChaosen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectDifferential Equation Modelen_US
dc.subjectInfectionen_US
dc.subjectDynamicsen_US
dc.subjectVirusen_US
dc.subjectResistanceen_US
dc.titleStability analysis and numerical simulations of spatiotemporal HIV CD4+T cell model with drug therapytr_TR
dc.titleStability Analysis and Numerical Simulations of Spatiotemporal Hiv Cd4+t Cell Model With Drug Therapyen_US
dc.typeArticleen_US
dspace.entity.typePublication

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