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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 286209, 8 pages
http://dx.doi.org/10.1155/2013/286209
Research Article

An Impulse Dynamic Model for Computer Worms

School of Information Engineering, Guangdong Medical College, Dongguan 523808, China

Received 3 May 2013; Accepted 2 June 2013

Academic Editor: Luca Guerrini

Copyright © 2013 Chunming Zhang 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

A worm spread model concerning impulsive control strategy is proposed and analyzed. We prove that there exists a globally attractive virus-free periodic solution when the vaccination rate is larger than . Moreover, we show that the system is uniformly persistent if the vaccination rate is less than . Some numerical simulations are also given to illustrate our main results.