Stability Analysis of an In-Host Viral Model with Cure of Infected Cells and Humoral Immunity
Joint Authors
Hu, Zhixing
Liao, Fucheng
Wang, Rong
Wang, Hui
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-22
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
An in-host viral model with cure of infected cells and humoral immunity is studied.
We prove that the stability is completely determined by the basic reproductive number R0 and show that the infection-free equilibrium E0 is globally asymptotically stable if and only if R0≤1.
Moreover, if R0>1, the infection equilibrium is locally asymptotically stable when the time delay τ is small and it loses stability as the length of the time delay increases past a critical value τ0.
Finally, we confirm our analysis by providing several numerical examples.
American Psychological Association (APA)
Wang, Hui& Wang, Rong& Hu, Zhixing& Liao, Fucheng. 2013. Stability Analysis of an In-Host Viral Model with Cure of Infected Cells and Humoral Immunity. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-446503
Modern Language Association (MLA)
Wang, Hui…[et al.]. Stability Analysis of an In-Host Viral Model with Cure of Infected Cells and Humoral Immunity. Journal of Applied Mathematics No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-446503
American Medical Association (AMA)
Wang, Hui& Wang, Rong& Hu, Zhixing& Liao, Fucheng. Stability Analysis of an In-Host Viral Model with Cure of Infected Cells and Humoral Immunity. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-446503
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-446503