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dc.contributor.authorCastellano, Claudio
dc.contributor.authorPastor Satorras, Romualdo
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Física i Enginyeria Nuclear
dc.date.accessioned2010-12-27T19:20:19Z
dc.date.available2010-12-27T19:20:19Z
dc.date.created2010
dc.date.issued2010
dc.identifier.citationCastellano, C.; Pastor, R. Thresholds for epidemic spreading in networks. "Physical review letters", 2010, vol. 105, núm. 21, p. 1-4.
dc.identifier.issn0031-9007
dc.identifier.urihttp://hdl.handle.net/2117/10769
dc.description.abstractWe 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.extent4 p.
dc.language.isoeng
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Física
dc.subject.lcshStatistical mechanics
dc.titleThresholds for epidemic spreading in networks
dc.typeArticle
dc.subject.lemacMecànica estadística
dc.contributor.groupUniversitat Politècnica de Catalunya. SIMCON - First-principles approaches to condensed matter physics: quantum effects and complexity
dc.identifier.doi10.1103/PhysRevLett.105.218701
dc.relation.publisherversionhttp://prl.aps.org/abstract/PRL/v105/i21/e218701
dc.rights.accessOpen Access
local.identifier.drac4460914
dc.description.versionPostprint (published version)
local.citation.authorCastellano, C.; Pastor, R.
local.citation.publicationNamePhysical review letters
local.citation.volume105
local.citation.number21
local.citation.startingPage1
local.citation.endingPage4


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