Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 262414, 9 pages
doi:10.1155/2010/262414
Research Article

On the Stability Property of the Infection-Free Equilibrium of a Viral Infection Model

Xiaoying Chen, Fengde Chen, Qianqian Su, and Na Zhang

College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China

Received 23 June 2010; Accepted 20 October 2010

Academic Editor: Francisco Solis

Copyright © 2010 Xiaoying Chen 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

The dynamics of a viral infection model with nonautonomous lytic immune response is studied from the perspective of dying out of the disease. With the help of the theory of exponential dichotomy of linear systems, we give a new proof about the global asymptotic stability of the infection-free equilibrium for the case 𝑅 0 = 1 . The result improves and complements one of the results of Wang et al. (2006).