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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 842614, 5 pages
http://dx.doi.org/10.1155/2013/842614
Research Article

Modeling Computer Virus and Its Dynamics

1College of Mathematical and Computer Science, Yangtze Normal University, Chongqing 400084, China
2College of Computer Science, Chongqing University, Chongqing 400030, China
3School of Computer Science, Chongqing University of Education, Chongqing 400067, China
4College of Software and Engineering, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received 27 March 2013; Accepted 9 June 2013

Academic Editor: Tingwen Huang

Copyright © 2013 Mei Peng 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.

Abstract

Based on that the computer will be infected by infected computer and exposed computer, and some of the computers which are in suscepitible status and exposed status can get immunity by antivirus ability, a novel coumputer virus model is established. The dynamic behaviors of this model are investigated. First, the basic reproduction number , which is a threshold of the computer virus spreading in internet, is determined. Second, this model has a virus-free equilibrium , which means that the infected part of the computer disappears, and the virus dies out, and is a globally asymptotically stable equilibrium if . Third, if then this model has only one viral equilibrium , which means that the computer persists at a constant endemic level, and is also globally asymptotically stable. Finally, some numerical examples are given to demonstrate the analytical results.