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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 546795, 5 pages
http://dx.doi.org/10.1155/2014/546795
Research Article

Dynamics of a Viral Infection Model with General Contact Rate between Susceptible Cells and Virus Particles

1Department of Mathematics, School of Biomedical Engineering, Third Military Medical University, Chongqing 400038, China
2Nineteen Student Battalion, School of Biomedical Engineering, Third Military Medical University, Chongqing 400038, China

Received 23 December 2013; Accepted 9 January 2014; Published 13 February 2014

Academic Editor: Weiming Wang

Copyright © 2014 Chenxi Dai et al. 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.

Abstract

This paper investigates the dynamic behavior of a viral infection model with general contact rate between susceptible host cells and free virus particles. If the basic reproduction number of the virus is less than unity, by LaSalle’s invariance principle, the disease-free equilibrium is globally asymptotically stable. If the basic reproduction number of the virus is greater than unity, then the virus persists in the host and the endemic equilibrium is locally asymptotically stable.