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Spectral properties of the connectivity matrix and the SIS-epidemic threshold for mid-size metapopulations
dc.contributor.author | Juher Barrot, David |
dc.contributor.author | Mañosa Fernández, Víctor |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2014-05-08T12:16:17Z |
dc.date.available | 2014-05-08T12:16:17Z |
dc.date.created | 2014-04-24 |
dc.date.issued | 2014-04-24 |
dc.identifier.citation | Juher, D.; Mañosa, V. Spectral properties of the connectivity matrix and the SIS-epidemic threshold for mid-size metapopulations. "Mathematical modeling of natural phenomena", 24 Abril 2014, vol. 9, núm. 2, p. 108-120. |
dc.identifier.issn | 0973-5348 |
dc.identifier.uri | http://hdl.handle.net/2117/22912 |
dc.description.abstract | We consider the spread of an infectious disease on a heterogeneous metapopulation defined by any (correlated or uncorrelated) network. The infection evolves under transmission, recovery and migration mechanisms. We study some spectral properties of a connectivity matrix arising from the continuous-time equations of the model. In particular we show that the classical sufficient condition of instability for the disease-free equilibrium, well known for the particular case of uncorrelated networks, works also for the general case. We give also an alternative condition that yields a more accurate estimation of the epidemic threshold for correlated (either assortative or dissortative) networks. |
dc.format.extent | 13 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica::Algorísmica i teoria de la complexitat |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Probabilitat |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Teoria de grafs |
dc.subject.lcsh | Graph theory |
dc.subject.lcsh | Complex Networks |
dc.subject.other | SIS epidemic |
dc.subject.other | Complex networks |
dc.title | Spectral properties of the connectivity matrix and the SIS-epidemic threshold for mid-size metapopulations |
dc.type | Article |
dc.subject.lemac | Grafs, Teoria de |
dc.subject.lemac | Anàlisi de xarxes (Planificació) |
dc.contributor.group | Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions |
dc.identifier.doi | 10.1051/mmnp/20149207 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::05 Combinatorics::05C Graph theory |
dc.subject.ams | Classificació AMS::60 Probability theory and stochastic processes::60J Markov processes |
dc.subject.ams | Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications |
dc.relation.publisherversion | http://www.mmnp-journal.org/action/displayAbstract?fromPage=online&aid=9247031&fulltextType=RA&fileId=S0973534814092074 |
dc.rights.access | Open Access |
local.identifier.drac | 14368219 |
dc.description.version | Postprint (author’s final draft) |
local.citation.author | Juher, D.; Mañosa, V. |
local.citation.publicationName | Mathematical modeling of natural phenomena |
local.citation.volume | 9 |
local.citation.number | 2 |
local.citation.startingPage | 108 |
local.citation.endingPage | 120 |
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