Thresholds for epidemic outbreaks in finite scale-free networks

Year: 2005

Authors: Hwang D.-U., Boccaletti S., Moreno Y., Lopez-Ruiz R.

Autors Affiliation: Istituto Nazionale di Ottica Applicata, Largo E. Fermi, 6 50125 Firenze, Italy;
Instituto de Biocomputacion y Fisica de Sistemas Complejos (BIFI),Universidad de Zaragoza, Zaragoza 50009, Spain;
Department of Computer Science, University of Zaragoza, Zaragoza 50009, Spain

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.

Journal/Review: MATHEMATICAL BIOSCIENCES AND ENGINEERING

Volume: 2 (2)      Pages from: 317  to: 327

KeyWords: epidemic threshold; scale-free network;
DOI: 10.3934/mbe.2005.2.317

Citations: 20
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