Exact Solution of Site and Bond Percolation on Small-World Networks

Cristopher Moore and M. E. J. Newman
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Cristopher Moore: http://www.santafe.edu/~moore

Working Papers from Santa Fe Institute

Abstract: We study percolation on small-world networks, which has been proposed as a simple model of the propagation of disease. The occupation probabilities of sites and bonds correspond to the susceptibility of individuals to the disease and the transmissibility of the disease respectively. We give an exact solution of the model for both site and bond percolation, including the position of the percolation transition at which epidemic behavior sets in, the values of the two critical exponents governing this transition, and the mean and variance of the distribution of cluster sizes (disease outbreaks) below the transition.

Keywords: Small world; disease spreading; epidemics; social networks. (search for similar items in EconPapers)
Date: 2000-01
New Economics Papers: this item is included in nep-cmp, nep-evo and nep-ind
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:wop:safiwp:00-01-007

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