corner
corner
Access provided through the subscription of Staats- und Universitaetsbibliothek Bremen Go Mobile!

Phys. Rev. Lett. 109, 128702 (2012) [5 pages]

Localization and Spreading of Diseases in Complex Networks

Download: PDF (444 kB) Export: BibTeX or EndNote (RIS)

A. V. Goltsev1,2, S. N. Dorogovtsev1,2, J. G. Oliveira1,3, and J. F. F. Mendes1
1Department of Physics, I3N, University of Aveiro, 3810-193 Aveiro, Portugal
2Ioffe Physico-Technical Institute, 194021 St. Petersburg, Russia
3Departamento de Engenharia Física, Faculdade de Engenharia, Universidade do Porto, rua Dr. Roberto Frias, 4200-465 Porto, Portugal

Received 19 February 2012; revised 24 April 2012; published 19 September 2012

Using the susceptible-infected-susceptible model on unweighted and weighted networks, we consider the disease localization phenomenon. In contrast to the well-recognized point of view that diseases infect a finite fraction of vertices right above the epidemic threshold, we show that diseases can be localized on a finite number of vertices, where hubs and edges with large weights are centers of localization. Our results follow from the analysis of standard models of networks and empirical data for real-world networks.

© 2012 American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.109.128702
DOI:
10.1103/PhysRevLett.109.128702
PACS:
89.75.Hc, 05.40.-a, 05.50.+q, 87.19.X-