Global Dynamics of Virus Infection Model with Antibody Immune Response and Distributed Delays
Joint Authors
Alhejelan, A.
Elaiw, A. M.
Alghamdi, Mohammad Ali
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-03
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We present qualitative behavior of virus infection model with antibody immune response.
The incidence rate of infection is given by saturation functional response.
Two types of distributed delays are incorporated into the model to account for the time delay between the time when uninfected cells are contacted by the virus particle and the time when emission of infectious (matures) virus particles.
Using the method of Lyapunov functional, we have established that the global stability of the steady states of the model is determined by two threshold numbers, the basic reproduction number R0 and antibody immune response reproduction number R1.
We have proven that if R0≤1, then the uninfected steady state is globally asymptotically stable (GAS), if R1≤1
American Psychological Association (APA)
Elaiw, A. M.& Alhejelan, A.& Alghamdi, Mohammad Ali. 2013. Global Dynamics of Virus Infection Model with Antibody Immune Response and Distributed Delays. Discrete Dynamics in Nature and Society،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-497501
Modern Language Association (MLA)
Elaiw, A. M.…[et al.]. Global Dynamics of Virus Infection Model with Antibody Immune Response and Distributed Delays. Discrete Dynamics in Nature and Society No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-497501
American Medical Association (AMA)
Elaiw, A. M.& Alhejelan, A.& Alghamdi, Mohammad Ali. Global Dynamics of Virus Infection Model with Antibody Immune Response and Distributed Delays. Discrete Dynamics in Nature and Society. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-497501
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-497501