Spectral properties of the connectivity matrix and the SIS-epidemic threshold for mid-size metapopulations
dc.contributor.author
dc.date.accessioned
2017-03-15T08:40:21Z
dc.date.available
2017-03-15T08:40:21Z
dc.date.issued
2014-01-01
dc.identifier.issn
0973-5348
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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.description.sponsorship
Supported by Ministry of Economy and Competitiveness of the Spanish Government grant numbers MTM2011-27739-C04-03 (first author) and DPI2011-25822 (second author). Also by Generalitat de Catalunya projects 2009-SGR-345 (first author) and 2009-SGR-1228 (second author).
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application/pdf
dc.language.iso
eng
dc.publisher
EDP Sciences
dc.relation
info:eu-repo/grantAgreement/MICINN//MTM2011-27739-C04-03/ES/MODELIZACION MATEMATICA, BIOLOGIA TEORICA Y REDES COMPLEJAS/
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Versió postprint del document publicat a: http://dx.doi.org/10.1051/mmnp/20149207
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© Mathematical Modelling of Natural Phenomena, 2014, vol. 9, núm. 2, p. 1053-1060
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Articles publicats (D-IMA)
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Tots els drets reservats
dc.title
Spectral properties of the connectivity matrix and the SIS-epidemic threshold for mid-size metapopulations
dc.type
info:eu-repo/semantics/article
dc.rights.accessRights
info:eu-repo/semantics/openAccess
dc.embargo.terms
Cap
dc.type.version
info:eu-repo/semantics/acceptedVersion
dc.identifier.doi
dc.identifier.idgrec
020310
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dc.relation.ProjectAcronym
dc.identifier.eissn
1760-6101