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Discrete Dynamics in Nature and Society
Volume 2015 (2015), Article ID 235420, 11 pages
Research Article

Analysis of a Viral Infection Model with Delayed Nonlytic Immune Response

1College of Science, Northwest A&F University, Yangling, Shaanxi 712100, China
2School of Economics and Management, Xidian University, Xi’an, Shaanxi 710071, China

Received 6 June 2014; Accepted 26 September 2014

Academic Editor: Kaifa Wang

Copyright © 2015 Mengye 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.


We investigate the dynamical behavior of a virus infection model with delayed nonlytic immune response. By analyzing corresponding characteristic equations, the local stabilities of two boundary equilibria are established. By using suitable Lyapunov functional and LaSalle’s invariance principle, we establish the global stability of the infection-free equilibrium. We find that the infection free equilibrium is globally asymptotically stable when , and the infected equilibrium without immunity is local asymptotically stable when . Under the condition we obtain the sufficient conditions to the local stability of the infected equilibrium with immunity . We show that the time delay can change the stability of and lead to the existence of Hopf bifurcations. The stabilities of bifurcating periodic solutions are studied and numerical simulations to our theorems are provided.