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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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\textit{L.-P. Song} et al., Comput. Math. Appl. 61, No. 7, 1823--1829 (2011; Zbl 1219.37065)

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