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Mathematical Biosciences and Engineering

2005, Volume 2, Issue 2: 317-327. doi: 10.3934/mbe.2005.2.317
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Thresholds for Epidemic Outbreaks in Finite Scale-Free Networks

  • 1.
    Istituto Nazionale di Ottica Applicata, Largo E. Fermi, 6 50125 Florence
  • 2.
    Istituto Nazionale di Ottica Applicata, Largo E. Fermi, 6, 50125 Florence
  • 3.
    Instituto de Biocomputación y Física de Sistemas Complejos (BIFI), Universidad de Zaragoza, Zaragoza 50009
  • 4.
    Department of Computer Science, University of Zaragoza, Zaragoza 50009
  • Received: 01 October 2004 Accepted: 29 June 2018 Published: 01 March 2005

  • MSC : 92D30.

  • We numerically investigate the existence of a threshold for epidemic outbreaks in a class of scale-free networks characterized by a parametrical dependence of the scaling exponent, influencing the convergence of fluctuations in the degree distribution. In finite-size networks, finite thresholds for the spreading of an epidemic are always found. However, both the thresholds and the behavior of the epidemic prevalence are quite different with respect to the type of network considered and the system size. We also discuss agreements and differences with some analytical claims previously reported.

    Citation: Dong-Uk Hwang, S. Boccaletti, Y. Moreno, R. López-Ruiz. Thresholds for Epidemic Outbreaks in Finite Scale-Free Networks[J]. Mathematical Biosciences and Engineering, 2005, 2(2): 317-327. doi: 10.3934/mbe.2005.2.317

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  • We numerically investigate the existence of a threshold for epidemic outbreaks in a class of scale-free networks characterized by a parametrical dependence of the scaling exponent, influencing the convergence of fluctuations in the degree distribution. In finite-size networks, finite thresholds for the spreading of an epidemic are always found. However, both the thresholds and the behavior of the epidemic prevalence are quite different with respect to the type of network considered and the system size. We also discuss agreements and differences with some analytical claims previously reported.


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  • © 2005 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)
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