Epidemic Threshold in Structured Scale-Free Networks

Víctor M. Eguíluz, Konstantin Klemm

Research output: Contribution to journalArticle

282 Citations (Scopus)

Abstract

We analyze the spreading of viruses in scale-free networks with high clustering and degree correlations, as found in the Internet graph. For the susceptible-infected-susceptible model of epidemics the prevalence undergoes a phase transition at a finite threshold of the transmission probability. Comparing with the absence of a finite threshold in networks with purely random wiring, our result suggests that high clustering (modularity) and degree correlations protect scale-free networks against the spreading of viruses. We introduce and verify a quantitative description of the epidemic threshold based on the connectivity of the neighborhoods of the hubs.

Original languageEnglish
JournalPhysical Review Letters
Volume89
Issue number10
DOIs
Publication statusPublished - 2002

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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