Absence of epidemic threshold in scale-free networks with degree correlations

Title:
Absence of epidemic threshold in scale-free networks with degree correlations
Creator:
Boguna, M (Author)
Pastor-Satorras, R (Author)
Vespignani, A (Author)
Language:
English
Publisher:
American Physical Society
Copyright date:
2003
Type of resource:
Text
Genre:
Articles
Format:
electronic
Digital origin:
born digital
Abstract/Description:
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.
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.
Subjects and keywords:
Epidemics
Communicable diseases
scale-free networks
infectious disease
susceptible-infected-susceptible model
Physics

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