TY - JOUR
T1 - Epidemic Threshold in Structured Scale-Free Networks
AU - Eguíluz, Víctor M.
AU - Klemm, Konstantin
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 2002
Y1 - 2002
N2 - We analyze the spreading of viruses in scale-free networks with high clustering and degree correlations, as found in the Internet graph. For the susceptible-infected-susceptible model of epidemics the prevalence undergoes a phase transition at a finite threshold of the transmission probability. Comparing with the absence of a finite threshold in networks with purely random wiring, our result suggests that high clustering (modularity) and degree correlations protect scale-free networks against the spreading of viruses. We introduce and verify a quantitative description of the epidemic threshold based on the connectivity of the neighborhoods of the hubs.
AB - We analyze the spreading of viruses in scale-free networks with high clustering and degree correlations, as found in the Internet graph. For the susceptible-infected-susceptible model of epidemics the prevalence undergoes a phase transition at a finite threshold of the transmission probability. Comparing with the absence of a finite threshold in networks with purely random wiring, our result suggests that high clustering (modularity) and degree correlations protect scale-free networks against the spreading of viruses. We introduce and verify a quantitative description of the epidemic threshold based on the connectivity of the neighborhoods of the hubs.
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U2 - 10.1103/PhysRevLett.89.108701
DO - 10.1103/PhysRevLett.89.108701
M3 - Article
C2 - 12225235
AN - SCOPUS:4043049130
VL - 89
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 10
ER -