Global Dynamics of an HIV Infection Model with Two Classes of Target Cells and Distributed Delays
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-16
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
We investigate the global dynamics of an HIV infection model with two classes of target cells and multiple distributed intracellular delays.
The model is a 5-dimensional nonlinear delay ODEs that describes the interaction of the HIV with two classes of target cells, CD4+ T cells and macrophages.
The incidence rate of infection is given by saturation functional response.
The model has two types of distributed time delays describing time needed for infection of target cell and virus replication.
This model can be seen as a generalization of several models given in the literature describing the interaction of the HIV with one class of target cells, CD4+ T cells.
Lyapunov functionals are constructed to establish the global asymptotic stability of the uninfected and infected steady states of the model.
We have proven that if the basic reproduction number R0 is less than unity then the uninfected steady state is globally asymptotically stable, and if R0>1 then the infected steady state exists and it is globally asymptotically stable.
American Psychological Association (APA)
Elaiw, A. M.. 2012. Global Dynamics of an HIV Infection Model with Two Classes of Target Cells and Distributed Delays. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-457680
Modern Language Association (MLA)
Elaiw, A. M.. Global Dynamics of an HIV Infection Model with Two Classes of Target Cells and Distributed Delays. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-457680
American Medical Association (AMA)
Elaiw, A. M.. Global Dynamics of an HIV Infection Model with Two Classes of Target Cells and Distributed Delays. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-457680
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457680