Small World Effect in an Epidemiological Model

Marcelo Kuperman and Guillermo Abramson
Phys. Rev. Lett. 86, 2909 – Published 26 March 2001
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Abstract

A model for the spread of an infection is analyzed for different population structures. The interactions within the population are described by small world networks, ranging from ordered lattices to random graphs. For the more ordered systems, there is a fluctuating endemic state of low infection. At a finite value of the disorder of the network, we find a transition to self-sustained oscillations in the size of the infected subpopulation.

  • Received 5 October 2000

DOI:https://doi.org/10.1103/PhysRevLett.86.2909

©2001 American Physical Society

Authors & Affiliations

Marcelo Kuperman1,* and Guillermo Abramson1,2,†

  • 1Centro Atómico Bariloche and Instituto Balseiro, 8400 S. C. de Bariloche, Argentina
  • 2Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina

  • *Email address: kuperman@cab.cnea.gov.ar
  • Email address: abramson@cab.cnea.gov.ar

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Issue

Vol. 86, Iss. 13 — 26 March 2001

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