Worm spreading with immunization: An interplay of spreading and immunity time scales

Matti Peltomäki, Markus Ovaska and Mikko Alava

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 23, 4152-4159

Abstract: A model of epidemic spreading that is applicable to email worms, for instance, is studied analytically and numerically. It is built on mean-field percolation, and incorporates two time scales originating in spreading dynamics and immunization. A comparison to empirical data is provided. The long-time limit of the dynamics is governed by an exponential decay. We derive an analytic expression for the characteristic time of the decay, and find a good agreement with numerics. There is a similar decay also in empirical observations.

Keywords: Spreading processes; Computer viruses; Percolation; Immunization (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:23:p:4152-4159

DOI: 10.1016/j.physa.2011.07.040

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