Nonlinear Dynamics and Chaos in a Fractional-Order HIV Model
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-06-24
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We introduce fractional order into an HIV model.
We consider the effect of viral diversity on the human immune system with frequency dependent rate of proliferation of cytotoxic T-lymphocytes (CTLs) and rate of elimination of infected cells by CTLs, based on a fractional-order differential equation model.
For the one-virus model, our analysis shows that the interior equilibrium which is unstable in the classical integer-order model can become asymptotically stable in our fractional-order model and numerical simulations confirm this.
We also present simulation results of the chaotic behaviors produced from the fractional-order HIV model with viral diversity by using an Adams-type predictor-corrector method.
American Psychological Association (APA)
Ye, Haiping& Ding, Yongsheng. 2009. Nonlinear Dynamics and Chaos in a Fractional-Order HIV Model. Mathematical Problems in Engineering،Vol. 2009, no. 2009, pp.1-12.
https://search.emarefa.net/detail/BIM-467339
Modern Language Association (MLA)
Ye, Haiping& Ding, Yongsheng. Nonlinear Dynamics and Chaos in a Fractional-Order HIV Model. Mathematical Problems in Engineering No. 2009 (2009), pp.1-12.
https://search.emarefa.net/detail/BIM-467339
American Medical Association (AMA)
Ye, Haiping& Ding, Yongsheng. Nonlinear Dynamics and Chaos in a Fractional-Order HIV Model. Mathematical Problems in Engineering. 2009. Vol. 2009, no. 2009, pp.1-12.
https://search.emarefa.net/detail/BIM-467339
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-467339