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Epidemics and percolation in small-world networks

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 2000 · Vol. 61(5) · pp. 5678–5682

Cristopher Moore✉(University of New Mexico)M. E. J. Newman(Santa Fe Institute)

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Abstract

We study some simple models of disease transmission on small-world networks, in which either the probability of infection by a disease or the probability of its transmission is varied, or both. The resulting models display epidemic behavior when the infection or transmission probability rises above the threshold for site or bond percolation on the network, and we give exact solutions for the position of this threshold in a variety of cases. We confirm our analytic results by numerical simulation.

Complex Network Analysis Techniques Opinion Dynamics and Social Influence Evolutionary Game Theory and CooperationPercolation (cognitive psychology)Percolation thresholdTransmission (telecommunications)Statistical physicsSmall-world networkPosition (finance)Simple (philosophy)Computer scienceMathematicsComplex network

MeSH terms

Epidemiologic MethodsEpidemiologyHumansModels, StatisticalNeural Networks, Computer

Citations

938

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26.03

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100%

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References

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Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1999 · 1,199 citations

Collective dynamics of ‘small-world’ networks

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Physics Letters A · 1999 · 1,444 citations

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