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Pàgina inicial > Articles > Articles publicats > Spectral properties of the connectivity matrix and the SIS-epidemic threshold for mid-size metapopulations |
Data: | 2014 |
Resum: | 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. |
Ajuts: | Ministerio de Economía y Competitividad MTM2011-27739-C04-03 Ministerio de Economía y Competitividad 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 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Complex networks ; SIS epidemic |
Publicat a: | Mathematical Modelling of Natural Phenomena, Vol. 9 Núm. 2 (2014) , p. 108-120, ISSN 1760-6101 |
Postprint 16 p, 291.8 KB |