## Abstract and Applied Analysis

### Dynamics Analysis of a Viral Infection Model with a General Standard Incidence Rate

#### Abstract

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.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014 (2014), Article ID 586035, 6 pages.

Dates
First available in Project Euclid: 27 February 2015

https://projecteuclid.org/euclid.aaa/1425049826

Digital Object Identifier
doi:10.1155/2014/586035

Mathematical Reviews number (MathSciNet)
MR3272203

Zentralblatt MATH identifier
07022661

#### Citation

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