Global Bifurcation of a Novel Computer Virus Propagation ModelReport as inadecuate

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Abstract and Applied Analysis - Volume 2014 2014, Article ID 731856, 6 pages -

Research Article

College of Computer Science, Jiangsu Normal University, Xuzhou 221116, China

College of Live Science, Jiangsu Normal University, Xuzhou 221116, China

Department of Computer Science, Hong Kong Baptist University, Kowloon, Hong Kong

Received 7 March 2014; Accepted 27 March 2014; Published 16 April 2014

Academic Editor: Ahmed El-Sayed

Copyright © 2014 Jianguo Ren 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.


In a recent paper by J. Ren et al. 2012, a novel computer virus propagation model under the effect of the antivirus ability in a real network is established. The analysis there only partially uncovers the dynamics behaviors of virus spread over the network in the case where around bifurcation is local. In the present paper, by mathematical analysis, it is further shown that, under appropriate parameter values, the model may undergo a global B-T bifurcation, and the curves of saddle-node bifurcation, Hopf bifurcation, and homoclinic bifurcation are obtained to illustrate the qualitative behaviors of virus propagation. On this basis, a collection of policies is recommended to prohibit the virus prevalence. To our knowledge, this is the first time the global bifurcation has been explored for the computer virus propagation. Theoretical results and corresponding suggestions may help us suppress or eliminate virus propagation in the network.

Author: Jianguo Ren, Yonghong Xu, and Jiming Liu



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