dc.contributor |
Universitat Politècnica de Catalunya. Departament de Física i Enginyeria Nuclear |
dc.contributor |
Universitat Politècnica de Catalunya. SIMCON - Grup de Recerca de Simulació per Ordinador en Matèria Condensada |
dc.contributor.author |
Castellano, Claudio |
dc.contributor.author |
Pastor Satorras, Romualdo |
dc.date |
2010 |
dc.identifier.citation |
Castellano, C.; Pastor, R. Thresholds for epidemic spreading in networks. "Physical review letters", 2010, vol. 105, núm. 21, p. 1-4. |
dc.identifier.citation |
0031-9007 |
dc.identifier.citation |
10.1103/PhysRevLett.105.218701 |
dc.identifier.uri |
http://hdl.handle.net/2117/10769 |
dc.language.iso |
eng |
dc.relation |
http://prl.aps.org/abstract/PRL/v105/i21/e218701 |
dc.rights |
Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights |
info:eu-repo/semantics/openAccess |
dc.rights |
http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject |
Àrees temàtiques de la UPC::Física |
dc.subject |
Statistical mechanics |
dc.subject |
Mecànica estadística |
dc.title |
Thresholds for epidemic spreading in networks |
dc.type |
info:eu-repo/semantics/publishedVersion |
dc.type |
info:eu-repo/semantics/article |
dc.description.abstract |
We study the threshold of epidemic models in quenched networks with degree distribution given by a power-law. For the susceptible-infected-susceptible model the activity threshold c vanishes in the large size limit on any network whose maximum degree kmax diverges with the system size, at odds with heterogeneous mean-field (HMF) theory. The vanishing of the threshold has nothing to do with the scale-free nature of the network but stems instead from the largest hub in the system being active for any spreading rate >1= We study the threshold of epidemic models in quenched networks with degree distribution given by a
power-law. For the susceptible-infected-susceptible model the activity threshold ۸c vanishes in the large size limit on any network whose maximum degree kmax diverges with the system size, at odds with heterogeneous
mean-field (HMF) theory. The vanishing of the threshold has nothing to do with the scale-free nature of the
network but stems instead from the largest hub in the system being active for any spreading rate۸>1/√kmax and playing the role of a self-sustained source that spreads the infection to the rest of the system. The susceptible-infected-removed model displays instead agreement with HMF theory and a finite threshold for scale-rich networks.We conjecture that on quenched scale-rich networks the threshold of generic epidemic models is vanishing or finite depending on the presence or absence of a steady state. |