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Propagation behavior of virus codes in the situation that infected computers are connected to the Internet with positive probability. (English) Zbl 1248.68077
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.

68M11 Internet topics
90B18 Communication networks in operations research
68M10 Network design and communication in computer systems
92D30 Epidemiology
37N99 Applications of dynamical systems
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