College of Mathematics and Computer Science, Fuzhou University, Fuzhou, Fujian 350002, China
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.
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
. The result improves and complements one of the results of Wang et al. (2006).