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oai:recercat.cat:2072/4106382026-03-13T03:22:20Zcom_2072_98col_2072_378192

urn:hdl:2072/410638 Spectral properties of the connectivity matrix and the SIS-epidemic threshold for mid-size metapopulations Juher, David Mañosa Fernández, Víctor Complex networks SIS epidemic We consider the spread of an infectious disease on a heterogeneous metapopulation defined by any (correlated or uncorrelated) network. The infection evolves under transmission, recovering 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. 2014 Article Ministerio de Ciencia e Innovación MTM2011-27739-C04-03 Ministerio de Ciencia e Innovación DPI2011-25822 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-345 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-1228 Mathematical Modelling of Natural Phenomena ; Vol. 9 Núm. 2 (2014), p. 108-120 open access Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets. https://rightsstatements.org/vocab/InC/1.0/