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Absence of epidemic threshold in scale free networks with degree correlations
Boguñá, Marián; Pastor-Satorras, R. (Romualdo), 1967-; Vespignani, Alessandro, 1965-
Universitat de Barcelona
Random scale-free networks have the peculiar property of being prone to the spreading of infections. Here we provide for the susceptible-infected-susceptible model an exact result showing that a scale-free degree distribution with diverging second moment is a sufficient condition to have null epidemic threshold in unstructured networks with either assortative or disassortative mixing. Degree correlations result therefore irrelevant for the epidemic spreading picture in these scale-free networks. The present result is related to the divergence of the average nearest neighbors degree, enforced by the degree detailed balance condition.
2010-07-06
Mecànica estadística
Física estadística
Statistical mechanics
Statistical physics
(c) American Physical Society, 2003
Article
American Physical Society
         

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