Numerical Analysis for a Fractional Differential Time-Delay Model of HIV Infection of CD4 + T-Cell Proliferation under Antiretroviral Therapy
Joint Authors
Lu, Peifen
Szanto, Ivan
Liu, Yiliang
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-11
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We study a fractional differential model of HIV infection of CD4 + T-cell, in which the CD4 + T-cell proliferation plays an important role in HIV infection under antiretroviral therapy.
An appropriate method is given to ensure that both the equilibria are asymptotically stable for τ ≥ 0 .
We calculate the basic reproductionnumber R 0 , the IFE E 0 , two IPEs E 1 * and E 2 * , and so on, and judge the stability of the equilibrium.
In addition, we describe the dynamic behaviors of the fractional HIV model by using the Adams-type predictor-corrector method algorithm.
At last, we extend the model to incorporate the term which we consider the loss of virion and a bilinear term during attacking the target cells.
American Psychological Association (APA)
Liu, Yiliang& Lu, Peifen& Szanto, Ivan. 2014. Numerical Analysis for a Fractional Differential Time-Delay Model of HIV Infection of CD4 + T-Cell Proliferation under Antiretroviral Therapy. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1033663
Modern Language Association (MLA)
Liu, Yiliang…[et al.]. Numerical Analysis for a Fractional Differential Time-Delay Model of HIV Infection of CD4 + T-Cell Proliferation under Antiretroviral Therapy. Abstract and Applied Analysis No. 2014 (2014), pp.1-13.
https://search.emarefa.net/detail/BIM-1033663
American Medical Association (AMA)
Liu, Yiliang& Lu, Peifen& Szanto, Ivan. Numerical Analysis for a Fractional Differential Time-Delay Model of HIV Infection of CD4 + T-Cell Proliferation under Antiretroviral Therapy. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-13.
https://search.emarefa.net/detail/BIM-1033663
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033663