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Influence of removable devices on computer worms: dynamic analysis and control strategies. (English) Zbl 1219.37065
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:
37N35 Dynamical systems in control
68M11 Internet topics
34D23 Global stability of solutions to ordinary differential equations
94A13 Detection theory in information and communication theory
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