Global Stability of Humoral Immunity HIV Infection Models with Chronically Infected Cells and Discrete Delays
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-06
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
We study the global stability of three HIV infection models with humoral immune response.
We consider two types of infected cells: the first type is the short-lived infected cells and the second one is the long-lived chronically infected cells.
In the three HIV infection models, we modeled the incidence rate by bilinear, saturation, and general forms.
The models take into account two types of discrete-time delays to describe the time between the virus entering into an uninfected CD4+ T cell and the emission of new active viruses.
The existence and stability of all equilibria are completely established by two bifurcation parameters, R 0 and R 1 .
The global asymptotic stability of the steady states has been proven using Lyapunov method.
In case of the general incidence rate, we have presented a set of sufficient conditions which guarantee the global stability of model.
We have presented an example and performed numerical simulations to confirm our theoretical results.
American Psychological Association (APA)
Elaiw, A. M.& Alghamdi, N. A.. 2015. Global Stability of Humoral Immunity HIV Infection Models with Chronically Infected Cells and Discrete Delays. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-25.
https://search.emarefa.net/detail/BIM-1060484
Modern Language Association (MLA)
Elaiw, A. M.& Alghamdi, N. A.. Global Stability of Humoral Immunity HIV Infection Models with Chronically Infected Cells and Discrete Delays. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-25.
https://search.emarefa.net/detail/BIM-1060484
American Medical Association (AMA)
Elaiw, A. M.& Alghamdi, N. A.. Global Stability of Humoral Immunity HIV Infection Models with Chronically Infected Cells and Discrete Delays. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-25.
https://search.emarefa.net/detail/BIM-1060484
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060484