Thresholds for Epidemic Outbreaks in Finite Scale-Free Networks

Dong-Uk Hwang; S. Boccaletti; Y. Moreno; R. López-Ruiz

doi:10.3934/mbe.2005.2.317

Article Contents

2005, Volume 2, Issue 2: 317-327. Doi: 10.3934/mbe.2005.2.317

This issue Previous Article Parameter Estimation in a Coupled System of Nonlinear Size-Structured Populations Next Article Impulsive Ecological Control Of A Stage-Structured Pest Management System

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: October 2004

Revised: February 2005

Published: March 2005

Abstract / Introduction Related Papers Cited by

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.

Keywords:

epidemic threshold,
scale-free network.

Mathematics Subject Classification: 92D30.

Citation:

Article Metrics

HTML views() PDF downloads(79) Cited by(0)

Thresholds for Epidemic Outbreaks in Finite Scale-Free Networks

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Thresholds for Epidemic Outbreaks in Finite Scale-Free Networks

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content