Hopf Bifurcation and Stability of Periodic Solutions for Delay Differential Model of HIV Infection of CD4+ T-cells
Joint Authors
Balasubramaniam, Pagavathi
Lakshmanan, S.
Prakash, M.
Rihan, Fathalla A.
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-31
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
This paper deals with stability and Hopf bifurcation analyses of a mathematical model of HIV infection of CD 4 + T-cells.
The model is based on a system of delay differential equations with logistic growth term and antiretroviral treatment with a discrete time delay, which plays a main role in changing the stability of each steady state.
By fixing the time delay as a bifurcation parameter, we get a limit cycle bifurcation about the infected steady state.
We study the effect of the time delay on the stability of the endemically infected equilibrium.
We derive explicit formulae to determine the stability and direction of the limit cycles by using center manifold theory and normal form method.
Numerical simulations are presented to illustrate the results.
American Psychological Association (APA)
Balasubramaniam, Pagavathi& Prakash, M.& Rihan, Fathalla A.& Lakshmanan, S.. 2014. Hopf Bifurcation and Stability of Periodic Solutions for Delay Differential Model of HIV Infection of CD4+ T-cells. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1034042
Modern Language Association (MLA)
Balasubramaniam, Pagavathi…[et al.]. Hopf Bifurcation and Stability of Periodic Solutions for Delay Differential Model of HIV Infection of CD4+ T-cells. Abstract and Applied Analysis No. 2014 (2014), pp.1-18.
https://search.emarefa.net/detail/BIM-1034042
American Medical Association (AMA)
Balasubramaniam, Pagavathi& Prakash, M.& Rihan, Fathalla A.& Lakshmanan, S.. Hopf Bifurcation and Stability of Periodic Solutions for Delay Differential Model of HIV Infection of CD4+ T-cells. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1034042
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034042