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.

Notes

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.

Keywords

scale-free networks, infectious disease, susceptible-infected-susceptible model

Subject Categories

Epidemics, Communicable diseases

Disciplines

Physics

Publisher

American Physical Society

Publication Date

1-17-2003

Rights Information

©2003 American Physical Society

Rights Holder

American Physical Society

Click button above to open, or right-click to save.

Included in

Physics Commons

Share

COinS