Superinfection in networks

M. Märtens, R van de Bovenkamp, PFA Van Mieghem

Research output: Chapter in Book/Conference proceedings/Edited volumeConference contributionScientificpeer-review

Abstract

We introduce an extension of the SIS epidemic model that describes infection, mutation and curing for a whole hierarchy of viruses, resembling a nested spreading process. In our model, high level viruses are only allowed to spread to nodes that have acquired a lower level of infection before. The simplest case of two viruses, in which one "superinfects" the other, shows already rich dynamics that are difficult to predict by common mean-field approximation techniques in certain cases. We derive an exact Markovian description for superinfection in the complete network and the star network showing that the steady state of the epidemic process is highly sensitive to the spreading rate of both viruses. Taking the spreading rates into account, we outline conditions for epidemic outbreaks, coexistence of both viruses and extinction cycles.
Original languageEnglish
Title of host publicationProceedings of the 11th International Conference on Signal-Image Technology and Internet-Based Systems
EditorsK Yetongnon, A Dipanda, R Chbeir
Place of PublicationPiscataway, NJ
PublisherIEEE Society
Pages413-420
Number of pages8
ISBN (Print)978-1-4673-9721-6
DOIs
Publication statusPublished - 2015
Event11th International Conference on Signal-Image Technology and Internet-Based Systems (SITIS) - Bangkok, Thailand
Duration: 23 Nov 201527 Nov 2015
Conference number: 11
http://www.sitis-conf.org/past-conferences/www.sitis-conf.org-2015/index.php.html

Publication series

Name
PublisherIEEE

Conference

Conference11th International Conference on Signal-Image Technology and Internet-Based Systems (SITIS)
Abbreviated titleSITIS 2015
CountryThailand
CityBangkok
Period23/11/1527/11/15
Internet address

Keywords

  • Viruses (medical)
  • Markov processes
  • Standards
  • Computational modeling
  • Curing
  • Computer worms

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