Absence of epidemic threshold in scale-free networks with degree correlations
PublisherAmerican Institute of Physics (AIP)
Rights accessOpen Access
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 neighbor’s degree, enforced by the degree detailed balance condition.
CitationBoguña, M., Pastor-Satorras, R., Vespignani, A. Absence of epidemic threshold in scale-free networks with degree correlations. "Physical review letters", 15 Gener 2003, vol. 90, núm. 2, p. 028701-1-028701-4.