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Numerical and Bifurcations Analysis for Multi Order Fractional Model of Hiv Infection of Cd4(+)T-Cells

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dc.contributor.author Alipour, Mohsen
dc.contributor.author Arshad, Sadia
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2020-04-15T20:58:40Z
dc.date.available 2020-04-15T20:58:40Z
dc.date.issued 2016
dc.identifier.citation Alipour, Mohsen; Arshad, Sadia; Baleanu, Dumitru, "Numerical and Bifurcations Analysis for Multi Order Fractional Model of Hiv Infection of Cd4(+)T-Cells", University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics, Vol: 78, No. 4, pp. 243-258, (2016). tr_TR
dc.identifier.issn 1223-7027
dc.identifier.uri http://hdl.handle.net/20.500.12416/3178
dc.description.abstract In this paper, we solve the dynamical system of HIV infection of CD4(+) T cells within the multi-order fractional derivatives. The Bernstein operational matrices in arbitrary interval [a,b] are applied to obtain the approximate analytical solution of the model. In this way, the fractional differential equations are reduced to an algebraic easily solvable system. The obtained solutions are accurate and the method is very efficient and simple in implementation. With the help of bifurcation analysis, we acquired the critical value of viral death rate, that is, if viral death rate is greater than the critical value then level of virus particles starts to decline and thus free virus will eventually eliminate and patient is cured. Further, we found the threshold for viral infection rate analytically, which assures the stability of uninfected equilibrium and virus will ultimately eradicate. tr_TR
dc.language.iso eng tr_TR
dc.publisher Univ Politehnica Bucharest tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject HIV Infection of CD4(+)T-Cells tr_TR
dc.subject Operational Matrices tr_TR
dc.subject Bernstein Polynomials tr_TR
dc.subject Caputo Fractional Derivative tr_TR
dc.subject Bifurcation Analysis tr_TR
dc.title Numerical and Bifurcations Analysis for Multi Order Fractional Model of Hiv Infection of Cd4(+)T-Cells tr_TR
dc.type article tr_TR
dc.relation.journal University Politehnica of Bucharest Scientific Bulletin-Series A-Applied Mathematics and Physics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 78 tr_TR
dc.identifier.issue 4 tr_TR
dc.identifier.startpage 243 tr_TR
dc.identifier.endpage 258 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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