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Small-World Effect in Epidemics Using Cellular Automata

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  • HENRIQUE GAGLIARDI
  • DOMINGOS ALVES
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    Abstract

    The spread of an infectious disease in a population involves interactions leading to an epidemic outbreak through a network of contacts. Extending on Watts and Strogatz (1998) who showed that short-distance connections create a small-world effect, a model combining short- and long-distance probabilistic and regularly updated contacts helps considering spatial heterogeneity. The method is based on cellular automata. The presence of long-distance connections accelerates the small-world effect, as if the world shrank in proportion of their total number.

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    File URL: http://www.tandfonline.com/doi/abs/10.1080/08898481003689486
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    Bibliographic Info

    Article provided by Taylor & Francis Journals in its journal Mathematical Population Studies.

    Volume (Year): 17 (2010)
    Issue (Month): 2 ()
    Pages: 79-90

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    Handle: RePEc:taf:mpopst:v:17:y:2010:i:2:p:79-90

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    Related research

    Keywords: automata cellular; epidemic spreading; SIR; SIRS; small-world; transmission rules;

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