Title:
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Absence of epidemic threshold in scale free networks with degree correlations
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Author:
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Boguñá, Marián; Pastor-Satorras, R. (Romualdo), 1967-; Vespignani, Alessandro, 1965-
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Other authors:
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Universitat de Barcelona |
Abstract:
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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. |
Subject(s):
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-Mecànica estadística -Física estadística -Statistical mechanics -Statistical physics |
Rights:
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(c) American Physical Society, 2003
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Document type:
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Article Article - Published version |
Published by:
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American Physical Society
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