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Firewalls, Disorder, and Percolation in Epidemics

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arxiv cond-mat/0106450 v1 pith:JTNO5A5Q submitted 2001-06-21 cond-mat.stat-mech q-bio.PE

C. P. Warren , L. M. Sander , I. M. Sokolov This is my paper · ORCID
classification cond-mat.stat-mechq-bio.PE
keywords disorderbondepidemicpercolationspreadsusceptibilityvariationconsider
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We consider a spatial model related to bond percolation for the spread of a disease that includes variation in the susceptibility to infection. We work on a lattice with random bond strengths and show that with strong disorder, i.e. a wide range of variation of susceptibility, patchiness in the spread of the epidemic is very likely, and the criterion for epidemic outbreak depends strongly on the disorder. These results are qualitatively different from those of standard models in epidemiology, but correspond to real effects.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 11 citations worldwide. Full citation record

  1. Fast Geographic Routing in Fixed-Growth Graphs

    cs.DS 2025-02 reject novelty 6.0 of 10

    Greedy routing and diameter bounds for small-world graphs are generalized from lattices to fixed-growth graphs of any dimensionality alpha, with an empirical application to U.S. road networks.

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