Epidemics and Percolation in Small-World Networks
AbstractWe 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.
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Bibliographic InfoPaper provided by Santa Fe Institute in its series Working Papers with number 00-01-002.
Date of creation: Jan 2000
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Small world; disease spreading; epidemics; social networks; percolation.;
This paper has been announced in the following NEP Reports:
- NEP-ALL-2000-01-24 (All new papers)
- NEP-CMP-2000-02-03 (Computational Economics)
- NEP-EVO-2000-01-24 (Evolutionary Economics)
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