Dynamics Analysis of a Viral Infection Model with a General Standard Incidence Rate
Joint Authors
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-14
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
The basic viral infection models, proposed by Nowak et al.
and Perelson et al., respectively, have been widely used to describe viral infection such as HBV and HIV infection.
However, the basic reproduction numbers of the two models are proportional to the number of total cells of the host's organ prior to the infection, which seems not to be reasonable.
In this paper, we formulate an amended model with a general standard incidence rate.
The basic reproduction number of the amended model is independent of total cells of the host’s organ.
When the basic reproduction number R 0 < 1 , the infection-free equilibrium is globally asymptotically stable and the virus is cleared.
Moreover, if R 0 > 1 , then the endemic equilibrium is globally asymptotically stable and the virus persists in the host.
American Psychological Association (APA)
Ji, Yu& Zheng, Muxuan. 2014. Dynamics Analysis of a Viral Infection Model with a General Standard Incidence Rate. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1014275
Modern Language Association (MLA)
Ji, Yu& Zheng, Muxuan. Dynamics Analysis of a Viral Infection Model with a General Standard Incidence Rate. Abstract and Applied Analysis No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1014275
American Medical Association (AMA)
Ji, Yu& Zheng, Muxuan. Dynamics Analysis of a Viral Infection Model with a General Standard Incidence Rate. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1014275
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1014275