Absence of epidemic threshold in scale-free networks with degree correlations
Article comments
Originally published in Physical Review Letters, v.90 no.2 (2003), 28701. DOI:10.1103/PhysRevLett.90.028701. Dr. Vespignani is affiliated with Northeastern University as of the time of deposit.
Abstract
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.
Suggested Citation
M Boguna, R Pastor-Satorras, and A Vespignani. "Absence of epidemic threshold in scale-free networks with degree correlations" Physics Faculty Publications (2003).
Available at: http://works.bepress.com/avespignani/13