Multiple transitions of the susceptible-infected-susceptible epidemic model on complex networks

Angélica S. Mata and Silvio C. Ferreira
Phys. Rev. E 91, 012816 – Published 22 January 2015

Abstract

The epidemic threshold of the susceptible-infected-susceptible (SIS) dynamics on random networks having a power law degree distribution with exponent γ>3 has been investigated using different mean-field approaches, which predict different outcomes. We performed extensive simulations in the quasistationary state for a comparison with these mean-field theories. We observed concomitant multiple transitions in individual networks presenting large gaps in the degree distribution and the obtained multiple epidemic thresholds are well described by different mean-field theories. We observed that the transitions involving thresholds which vanish at the thermodynamic limit involve localized states, in which a vanishing fraction of the network effectively contributes to epidemic activity, whereas an endemic state, with a finite density of infected vertices, occurs at a finite threshold. The multiple transitions are related to the activations of distinct subdomains of the network, which are not directly connected.

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  • Received 9 March 2014
  • Revised 10 June 2014

DOI:https://doi.org/10.1103/PhysRevE.91.012816

©2015 American Physical Society

Authors & Affiliations

Angélica S. Mata and Silvio C. Ferreira

  • Departamento de Física, Universidade Federal de Viçosa, 36570-000 Viçosa, Minas Gerais, Brazil

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Issue

Vol. 91, Iss. 1 — January 2015

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