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Thresholds for epidemic spreading in networks
dc.contributor.author | Castellano, Claudio |
dc.contributor.author | Pastor Satorras, Romualdo |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Física i Enginyeria Nuclear |
dc.date.accessioned | 2010-12-27T19:20:19Z |
dc.date.available | 2010-12-27T19:20:19Z |
dc.date.created | 2010 |
dc.date.issued | 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.issn | 0031-9007 |
dc.identifier.uri | http://hdl.handle.net/2117/10769 |
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. |
dc.format.extent | 4 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Física |
dc.subject.lcsh | Statistical mechanics |
dc.title | Thresholds for epidemic spreading in networks |
dc.type | Article |
dc.subject.lemac | Mecànica estadística |
dc.contributor.group | Universitat Politècnica de Catalunya. SIMCON - First-principles approaches to condensed matter physics: quantum effects and complexity |
dc.identifier.doi | 10.1103/PhysRevLett.105.218701 |
dc.relation.publisherversion | http://prl.aps.org/abstract/PRL/v105/i21/e218701 |
dc.rights.access | Open Access |
local.identifier.drac | 4460914 |
dc.description.version | Postprint (published version) |
local.citation.author | Castellano, C.; Pastor, R. |
local.citation.publicationName | Physical review letters |
local.citation.volume | 105 |
local.citation.number | 21 |
local.citation.startingPage | 1 |
local.citation.endingPage | 4 |
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