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Epidemic threshold in structured scale-free networks

AuthorsEguíluz, Víctor M. ; Klemm, Konstantin
Keywords[PACS] Networks and genealogical trees
[PACS] Diseases
[PACS] Dynamics of social systems
[PACS] World Wide Web, Internet
Issue Date16-Aug-2002
PublisherAmerican Physical Society
CitationPhysical Review Letters 89(10): 108701 (2002)
AbstractWe 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.
Description4 pages, 4 figures.-- PACS nrs.: 89.75.Hc, 87.19.Xx, 87.23.Ge, 89.20.Hh.-- Printed version published Sep 2, 2002.
ArXiv pre-print available at: http://arxiv.org/abs/cond-mat/0205439
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevLett.89.108701
Appears in Collections:(IFISC) Artículos
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