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

Author

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  • Peltomäki, Matti
  • Ovaska, Markus
  • Alava, Mikko

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.

Suggested Citation

  • Peltomäki, Matti & Ovaska, Markus & Alava, Mikko, 2011. "Worm spreading with immunization: An interplay of spreading and immunity time scales," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4152-4159.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:23:p:4152-4159
    DOI: 10.1016/j.physa.2011.07.040
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