Small-World Effect in Epidemics Using Cellular Automata

Henrique Gagliardi and Domingos Alves

Mathematical Population Studies, 2010, vol. 17, issue 2, 79-90

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.

Keywords: automata cellular; epidemic spreading; SIR; SIRS; small-world; transmission rules (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1080/08898481003689486

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