Global Dynamics of HIV Infection of CD4+ T Cells and Macrophages
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-07-30
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We study the global dynamics of an HIV infection model describing the interaction of the HIV with CD4+ T cells and macrophages.
The incidence rate of virus infection and the growth rate of the uninfected CD4+ T cells and macrophages are given by general functions.
We have incorporated two types of distributed delays into the model to account for the time delay between the time the uninfected cells are contacted by the virus particle and the time for the emission of infectious (matures) virus particles.
We have established a set of conditions which are sufficient for the global stability of the steady states of the model.
Using Lyapunov functionals and LaSalle's invariant principle, we have proven that if the basic reproduction number R0 is less than or equal to unity, then the uninfected steady state is globally asymptotically stable (GAS), and if the infected steady state exists, then it is GAS.
American Psychological Association (APA)
Elaiw, A. M.& Alsheri, A. S.. 2013. Global Dynamics of HIV Infection of CD4+ T Cells and Macrophages. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-458672
Modern Language Association (MLA)
Elaiw, A. M.& Alsheri, A. S.. Global Dynamics of HIV Infection of CD4+ T Cells and Macrophages. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-458672
American Medical Association (AMA)
Elaiw, A. M.& Alsheri, A. S.. Global Dynamics of HIV Infection of CD4+ T Cells and Macrophages. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-458672
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-458672