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Small-World Effect in Epidemics Using Cellular Automata

Author

Listed:
  • HENRIQUE GAGLIARDI
  • DOMINGOS ALVES

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.

Suggested Citation

  • Henrique Gagliardi & Domingos Alves, 2010. "Small-World Effect in Epidemics Using Cellular Automata," Mathematical Population Studies, Taylor & Francis Journals, vol. 17(2), pages 79-90.
  • Handle: RePEc:taf:mpopst:v:17:y:2010:i:2:p:79-90
    DOI: 10.1080/08898481003689486
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