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2013 An Impulse Dynamic Model for Computer Worms
Chunming Zhang, Yun Zhao, Yingjiang Wu
Abstr. Appl. Anal. 2013(SI41): 1-8 (2013). DOI: 10.1155/2013/286209

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 θ 1 . Moreover, we show that the system is uniformly persistent if the vaccination rate is less than θ 1 . Some numerical simulations are also given to illustrate our main results.

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Chunming Zhang. Yun Zhao. Yingjiang Wu. "An Impulse Dynamic Model for Computer Worms." Abstr. Appl. Anal. 2013 (SI41) 1 - 8, 2013. https://doi.org/10.1155/2013/286209

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 1298.34084
MathSciNet: MR3073471
Digital Object Identifier: 10.1155/2013/286209

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI41 • 2013
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