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dc.contributor.authorJuher Barrot, David
dc.contributor.authorMañosa Fernández, Víctor
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III
dc.identifier.citationJuher, 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.description.abstractWe 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.extent13 p.
dc.subjectÀrees temàtiques de la UPC::Informàtica::Informàtica teòrica::Algorísmica i teoria de la complexitat
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Probabilitat
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Teoria de grafs
dc.subject.lcshGraph theory
dc.subject.lcshComplex Networks
dc.subject.otherSIS epidemic
dc.subject.otherComplex networks
dc.titleSpectral properties of the connectivity matrix and the SIS-epidemic threshold for mid-size metapopulations
dc.subject.lemacGrafs, Teoria de
dc.subject.lemacAnàlisi de xarxes (Planificació)
dc.contributor.groupUniversitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions
dc.description.peerreviewedPeer Reviewed
dc.subject.amsClassificació AMS::05 Combinatorics::05C Graph theory
dc.subject.amsClassificació AMS::60 Probability theory and stochastic processes::60J Markov processes
dc.subject.amsClassificació AMS::37 Dynamical systems and ergodic theory::37N Applications
dc.rights.accessOpen Access
dc.description.versionPostprint (author’s final draft)
upcommons.citation.authorJuher, D.; Mañosa, V.
upcommons.citation.publicationNameMathematical modeling of natural phenomena

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