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Zbl 1248.68077
Yang, Lu-Xing; Yang, Xiaofan
Propagation behavior of virus codes in the situation that infected computers are connected to the Internet with positive probability. (English)
[J] Discrete Dyn. Nat. Soc. 2012, Article ID 693695, 13 p. (2012). ISSN 1026-0226; ISSN 1607-887X/e

Summary: All the known models describing the propagation of virus codes were based on the assumption that a computer is uninfected at the time it is being connected to the Internet. In reality, however, it is much likely that infected computers are connected to the Internet. This paper is intended to investigate the propagation behavior of virus programs provided infected computers are connected to the Internet with positive probability. For that purpose, a new model characterizing the spread of computer virus is proposed. Theoretical analysis of this model indicates that (1) there is a unique (viral) equilibrium, and (2) this equilibrium is globally asymptotically stable. Further study shows that, by taking active measures, the percentage of infected computers can be made below an acceptable threshold value.

MSC 2000:: *68M11
90B18 Communication networks
68M10 Computer networks
92D30 Epidemiology
37N99 Applications of dynamical systems

Keywords: propagation of virus codes; globally asymptotically stable equilibrium

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Zentralblatt MATH Berlin [Germany]