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Zbl 1219.37065
Song, Li-Peng; Jin, Zhen; Sun, Gui-Quan; Zhang, Juan; Han, Xie
Influence of removable devices on computer worms: dynamic analysis and control strategies. (English)
[J] Comput. Math. Appl. 61, No. 7, 1823-1829 (2011). ISSN 0898-1221

Summary: Worms spreading via both Web-based scanning and removable devices account for a major part of threats on internet. However, their dynamical behavior and controlling methods remain unclear. As a result, we present a computer worm model incorporating specific features unique to those worms, in this paper. The threshold value $R_{0}$ determining whether the worms die out is obtained. Theoretical analysis shows that if $R_{0}<1$ the disease-free equilibrium is globally asymptotically stable; otherwise, the disease will be prevalent. Additionally, some control strategies are given. Our results are illustrated by numerical simulations.

MSC 2000:: *37N35 Dynamical systems in control
68M11
34D23 Global stability
94A13 Detection theory

Keywords: equilibrium and stability; mathematical model; computer worms; infected removable devices

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Zentralblatt MATH Berlin [Germany]