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Discrete Dynamics in Nature and Society
Volume 2015 (2015), Article ID 101874, 8 pages
Research Article

Hopf Bifurcation of an SIQR Computer Virus Model with Time Delay

1Anhui University of Finance and Economics, School of Management Science and Engineering, Caoshan Road 962, Bengbu 233030, China
2Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), Jiangnan University, Wuxi 214122, China

Received 13 June 2014; Accepted 14 November 2014

Academic Editor: Muhammad Naveed Iqbal

Copyright © 2015 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.


A delayed SIQR computer virus model is considered. It has been observed that there exists a critical value of delay for the stability of virus prevalence by choosing the delay as a bifurcation parameter. Furthermore, the properties of the Hopf bifurcation such as direction and stability are investigated by using the normal form method and center manifold theory. Finally, some numerical simulations for supporting our theoretical results are also performed.