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 NUMERICAL AND BIFURCATIONS ANALYSIS FOR MULTI ORDER FRACTIONAL MODEL OF HIV INFECTION OF CD4(+)T-CELLS Alipour, Mohsen1; Arshad, Sadia2; Baleanu, Dumitru3 2016 Source Publication UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS ISSN 1223-7027 Volume 78Issue:4Pages:243-258 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. Keyword HIV infection of CD4(+)T-cells Operational matrices Bernstein polynomials Caputo fractional derivative Bifurcation analysis Language 英语 WOS Research Area Mathematics ; Physics WOS Subject Mathematics, Applied ; Physics, Multidisciplinary WOS ID WOS:000392573500023 Publisher UNIV POLITEHNICA BUCHAREST, SCI BULL Citation statistics Document Type 期刊论文 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/24621 Collection 中国科学院数学与系统科学研究院 Corresponding Author Alipour, Mohsen Affiliation 1.Babol Univ Technol, Babol Sar, Iran2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China3.Cankaya Univ, Ankara, Turkey Recommended CitationGB/T 7714 Alipour, Mohsen,Arshad, Sadia,Baleanu, Dumitru. NUMERICAL AND BIFURCATIONS ANALYSIS FOR MULTI ORDER FRACTIONAL MODEL OF HIV INFECTION OF CD4(+)T-CELLS[J]. UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS,2016,78(4):243-258. APA Alipour, Mohsen,Arshad, Sadia,&Baleanu, Dumitru.(2016).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,78(4),243-258. MLA Alipour, Mohsen,et al."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 78.4(2016):243-258.
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