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Phys Rev Lett. 2002 Sep 2;89(10):108701. Epub 2002 Aug 16.

Epidemic threshold in structured scale-free networks.

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Instituto Mediterráneo de Estudios Avanzados IMEDEA (CSIC-UIB), E07071 Palma de Mallorca, Spain.


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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