Thresholds for Epidemic Outbreaks in Finite Scale-Free Networks
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1.
Istituto Nazionale di Ottica Applicata, Largo E. Fermi, 6 50125 Florence
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2.
Istituto Nazionale di Ottica Applicata, Largo E. Fermi, 6, 50125 Florence
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3.
Instituto de Biocomputación y Física de Sistemas Complejos (BIFI), Universidad de Zaragoza, Zaragoza 50009
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4.
Department of Computer Science, University of Zaragoza, Zaragoza 50009
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Received:
01 October 2004
Accepted:
29 June 2018
Published:
01 March 2005
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MSC :
92D30.
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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.
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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Abstract
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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