Global Stability of HIV Infection of CD4+ T Cells and Macrophages with CTL Immune Response and Distributed Delays
Joint Authors
Alzahrani, Ebraheem O.
Elaiw, A. M.
Abukwaik, R. M.
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-02
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
We study the global stability of a human immunodeficiency virus (HIV) infection model with Cytotoxic T Lymphocytes (CTL) immune response.
The model describes the interaction of the HIV with two classes of target cells, CD4+ T cells and macrophages.
Two types of distributed time delays are incorporated into the model to describe the time needed for infection of target cell and virus replication.
Using the method of Lyapunov functional, we have established that the global stability of the model is determined by two threshold numbers, the basic reproduction number R0 and the immune response reproduction number R0∗.
We have proven that, if R0≤1, then the uninfected steady state is globally asymptotically stable (GAS), if R0*≤1
American Psychological Association (APA)
Elaiw, A. M.& Abukwaik, R. M.& Alzahrani, Ebraheem O.. 2013. Global Stability of HIV Infection of CD4+ T Cells and Macrophages with CTL Immune Response and Distributed Delays. Computational and Mathematical Methods in Medicine،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-488516
Modern Language Association (MLA)
Elaiw, A. M.…[et al.]. Global Stability of HIV Infection of CD4+ T Cells and Macrophages with CTL Immune Response and Distributed Delays. Computational and Mathematical Methods in Medicine No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-488516
American Medical Association (AMA)
Elaiw, A. M.& Abukwaik, R. M.& Alzahrani, Ebraheem O.. Global Stability of HIV Infection of CD4+ T Cells and Macrophages with CTL Immune Response and Distributed Delays. Computational and Mathematical Methods in Medicine. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-488516
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-488516