KMS Of Academy of mathematics and systems sciences, CAS
| 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, Iran 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 3.Cankaya Univ, Ankara, Turkey |
| Recommended Citation GB/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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