Epidemic threshold of the susceptible-infected-susceptible model on complex networks

Hyun Keun Lee, Pyoung-Seop Shim, and Jae Dong Noh
Phys. Rev. E 87, 062812 – Published 19 June 2013

Abstract

We demonstrate that the susceptible-infected-susceptible (SIS) model on complex networks can have an inactive Griffiths phase characterized by a slow relaxation dynamics. It contrasts with the mean-field theoretical prediction that the SIS model on complex networks is active at any nonzero infection rate. The dynamic fluctuation of infected nodes, ignored in the mean field approach, is responsible for the inactive phase. It is proposed that the question whether the epidemic threshold of the SIS model on complex networks is zero or not can be resolved by the percolation threshold in a model where nodes are occupied in degree-descending order. Our arguments are supported by the numerical studies on scale-free network models.

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  • Received 12 November 2012

DOI:https://doi.org/10.1103/PhysRevE.87.062812

©2013 American Physical Society

Authors & Affiliations

Hyun Keun Lee1, Pyoung-Seop Shim1, and Jae Dong Noh1,2

  • 1Department of Physics, University of Seoul, Seoul 130-743, Korea
  • 2School of Physics, Korea Institute for Advanced Study, Seoul 130-722, Korea

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Issue

Vol. 87, Iss. 6 — June 2013

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