Quarantine-generated phase transition in epidemic spreading

C. Lagorio, M. Dickison, F. Vazquez, L. A. Braunstein, P. A. Macri, M. V. Migueles, S. Havlin, and H. E. Stanley
Phys. Rev. E 83, 026102 – Published 3 February 2011

Abstract

We study the critical effect of quarantine on the propagation of epidemics on an adaptive network of social contacts. For this purpose, we analyze the susceptible-infected-recovered model in the presence of quarantine, where susceptible individuals protect themselves by disconnecting their links to infected neighbors with probability w and reconnecting them to other susceptible individuals chosen at random. Starting from a single infected individual, we show by an analytical approach and simulations that there is a phase transition at a critical rewiring (quarantine) threshold wc separating a phase (w<wc) where the disease reaches a large fraction of the population from a phase (wwc) where the disease does not spread out. We find that in our model the topology of the network strongly affects the size of the propagation and that wc increases with the mean degree and heterogeneity of the network. We also find that wc is reduced if we perform a preferential rewiring, in which the rewiring probability is proportional to the degree of infected nodes.

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  • Received 7 October 2010

DOI:https://doi.org/10.1103/PhysRevE.83.026102

© 2011 American Physical Society

Authors & Affiliations

C. Lagorio1, M. Dickison2,*, F. Vazquez3, L. A. Braunstein1,2, P. A. Macri1, M. V. Migueles1, S. Havlin4, and H. E. Stanley2

  • 1Departamento de Física, Instituto de Investigaciones Físicas de Mar del Plata (IFIMAR), Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Mar del Plata-CONICET, Funes 3350, 7600 Mar del Plata, Argentina
  • 2Center for Polymer Studies, Physics Department, Boston University, Boston, Massachusetts 02215, USA
  • 3Max-Planck Institute for the Physics of Complex Systems, Nothnitzer Strasse 38, D-01187 Dresden, Germany
  • 4Department of Physics, Bar Ilan University, Ramat Gan, Israel

  • *dickison@bu.edu

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Vol. 83, Iss. 2 — February 2011

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