Abstract and Applied Analysis
- Abstr. Appl. Anal.
- Volume 2014 (2014), Article ID 586035, 6 pages.
Dynamics Analysis of a Viral Infection Model with a General Standard Incidence Rate
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 , the infection-free equilibrium is globally asymptotically stable and the virus is cleared. Moreover, if , then the endemic equilibrium is globally asymptotically stable and the virus persists in the host.
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 586035, 6 pages.
First available in Project Euclid: 27 February 2015
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Ji, Yu; Zheng, Muxuan. Dynamics Analysis of a Viral Infection Model with a General Standard Incidence Rate. Abstr. Appl. Anal. 2014 (2014), Article ID 586035, 6 pages. doi:10.1155/2014/586035. https://projecteuclid.org/euclid.aaa/1425049826