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A Differential Equation Model of HIV Infection of CD4+ T-Cells with Delay
Joint Authors
Zhang, Fengqin
Yang, Jun-Yuan
Wang, Xiao-Yan
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-02-16
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
An epidemic model of HIV infection of CD4+ T-cells with cure rate and delay is studied.
We include a baseline ODE version of the model, and a differential-delay model with a discrete time delay.
The ODE model shows that the dynamics is completely determined by the basic reproduction number R0<1.
If R0<1, the disease-free equilibrium is asymptotically stable and the disease dies out.
If R0>1, a unique endemic equilibrium exists and is globally stable in the interior of the feasible region.
In the DDE model, the delay stands for the incubation time.
We prove the effect of that delay on the stability of the equilibria.
We show that the introduction of a time delay in the virus-to-healthy cells transmission term can destabilize the system, and periodic solutions can arise through Hopf bifurcation.
American Psychological Association (APA)
Yang, Jun-Yuan& Wang, Xiao-Yan& Zhang, Fengqin. 2009. A Differential Equation Model of HIV Infection of CD4+ T-Cells with Delay. Discrete Dynamics in Nature and Society،Vol. 2008, no. 2008, pp.1-16.
https://search.emarefa.net/detail/BIM-506747
Modern Language Association (MLA)
Yang, Jun-Yuan…[et al.]. A Differential Equation Model of HIV Infection of CD4+ T-Cells with Delay. Discrete Dynamics in Nature and Society No. 2008 (2008), pp.1-16.
https://search.emarefa.net/detail/BIM-506747
American Medical Association (AMA)
Yang, Jun-Yuan& Wang, Xiao-Yan& Zhang, Fengqin. A Differential Equation Model of HIV Infection of CD4+ T-Cells with Delay. Discrete Dynamics in Nature and Society. 2009. Vol. 2008, no. 2008, pp.1-16.
https://search.emarefa.net/detail/BIM-506747
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506747