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The Scientific World Journal
Volume 2014, Article ID 373171, 6 pages
Research Article

Stability and Hopf Bifurcation for a Delayed SLBRS Computer Virus Model

1School of Management Science and Engineering, Anhui University of Finance and Economics, Bengbu 233030, China
2Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, China

Received 27 June 2014; Accepted 23 July 2014; Published 17 August 2014

Academic Editor: Carlo Bianca

Copyright © 2014 Zizhen Zhang and Huizhong Yang. 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.


By incorporating the time delay due to the period that computers use antivirus software to clean the virus into the SLBRS model a delayed SLBRS computer virus model is proposed in this paper. The dynamical behaviors which include local stability and Hopf bifurcation are investigated by regarding the delay as bifurcating parameter. Specially, direction and stability of the Hopf bifurcation are derived by applying the normal form method and center manifold theory. Finally, an illustrative example is also presented to testify our analytical results.