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Abstract and Applied Analysis
Volume 2014, Article ID 586035, 6 pages
Research Article

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

Department of Mathematics, Beijing Technology and Business University, Beijing 100048, China

Received 23 May 2014; Accepted 20 August 2014; Published 14 October 2014

Academic Editor: Peixuan Weng

Copyright © 2014 Yu Ji and Muxuan Zheng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.