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Epidemics, disorder, and percolation

Author

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  • Sander, L.M
  • Warren, C.P
  • Sokolov, I.M

Abstract

Spatial models for spread of an epidemic may be mapped onto bond percolation. We point out that with disorder in the strength of contacts between individuals patchiness in the spread of the epidemic is very likely, and the criterion for epidemic outbreak depends strongly on the disorder because the critical region of the corresponding percolation model is broadened. In some networks the percolation threshold is zero if another kind of disorder is present, namely divergent fluctuations in the number of contacts. We give an example, a network with a well-defined geography, where this is not necessarily so, and discuss whether real infection networks are likely to have this property.

Suggested Citation

  • Sander, L.M & Warren, C.P & Sokolov, I.M, 2003. "Epidemics, disorder, and percolation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 1-8.
    • Handle: RePEc:eee:phsmap:v:325:y:2003:i:1:p:1-8
    DOI: 10.1016/S0378-4371(03)00176-6
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    References listed on IDEAS

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    1. Fredrik Liljeros & Christofer R. Edling & Luís A. Nunes Amaral & H. Eugene Stanley & Yvonne Åberg, 2001. "The web of human sexual contacts," Nature, Nature, vol. 411(6840), pages 907-908, June.
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    Cited by:

    1. Sadeghnejad, S. & Masihi, M. & King, P.R., 2013. "Dependency of percolation critical exponents on the exponent of power law size distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6189-6197.

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