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Epidemics and Percolation in Small-World Networks

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  • Cristopher Moore
  • M. E. J. Newman
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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.

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    Bibliographic Info

    Paper provided by Santa Fe Institute in its series Working Papers with number 00-01-002.

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    Date of creation: Jan 2000
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    Handle: RePEc:wop:safiwp:00-01-002

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    Related research

    Keywords: Small world; disease spreading; epidemics; social networks; percolation.;

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    Cited by:
    1. Ball, Frank & Neal, Peter, 2003. "The great circle epidemic model," Stochastic Processes and their Applications, Elsevier, vol. 107(2), pages 233-268, October.
    2. Cristopher Moore & M. E. J. Newman, 2000. "Exact Solution of Site and Bond Percolation on Small-World Networks," Working Papers 00-01-007, Santa Fe Institute.
    3. Andrea Giovannetti, 2012. "Financial Contagion in Industrial Clusters: A Dynamical Analysis and Network Simulation," Department of Economics University of Siena 654, Department of Economics, University of Siena.
    4. Paolo Zeppini & Koen Frenken & Luis R. Izquierdo, 2013. "Innovation diffusion in networks: the microeconomics of percolation," Eindhoven Center for Innovation Studies (ECIS) working paper series 13-02, Eindhoven Center for Innovation Studies (ECIS), revised Feb 2013.
    5. M. E. J. Newman, 2001. "Clustering and Preferential Attachment in Growing Networks," Working Papers 01-03-021, Santa Fe Institute.

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