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.
%0 Journal Article
%1 Goltsev2012Localization
%A Goltsev, A. V.
%A Dorogovtsev, S. N.
%A Oliveira, J. G.
%A Mendes, J. F. F.
%D 2012
%I American Physical Society
%J Physical Review Letters
%K sis networks epidemic-models
%N 12
%P 128702+
%R 10.1103/physrevlett.109.128702
%T Localization and Spreading of Diseases in Complex Networks
%U http://dx.doi.org/10.1103/physrevlett.109.128702
%V 109
%X 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.
@article{Goltsev2012Localization,
abstract = {{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.}},
added-at = {2019-06-10T14:53:09.000+0200},
author = {Goltsev, A. V. and Dorogovtsev, S. N. and Oliveira, J. G. and Mendes, J. F. F.},
biburl = {https://www.bibsonomy.org/bibtex/20f8b68b5c1821acc14fbbb7a8fbcb60c/nonancourt},
citeulike-article-id = {11339412},
citeulike-linkout-0 = {http://dx.doi.org/10.1103/physrevlett.109.128702},
citeulike-linkout-1 = {http://link.aps.org/abstract/PRL/v109/i12/e128702},
citeulike-linkout-2 = {http://link.aps.org/pdf/PRL/v109/i12/e128702},
doi = {10.1103/physrevlett.109.128702},
interhash = {4edc700c25c92846b2475cc75c47c1e7},
intrahash = {0f8b68b5c1821acc14fbbb7a8fbcb60c},
issn = {0031-9007},
journal = {Physical Review Letters},
keywords = {sis networks epidemic-models},
month = sep,
number = 12,
pages = {128702+},
posted-at = {2013-05-30 23:37:02},
priority = {2},
publisher = {American Physical Society},
timestamp = {2019-07-31T12:34:57.000+0200},
title = {{Localization and Spreading of Diseases in Complex Networks}},
url = {http://dx.doi.org/10.1103/physrevlett.109.128702},
volume = 109,
year = 2012
}