Ítem
| Ministerio de Ciencia e Innovación (Espanya) | |
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Juher, David
Mañosa, V. |
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| 1 gener 2014 | |
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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 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 | |
| http://hdl.handle.net/10256/13736 | |
| eng | |
| EDP Sciences | |
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info:eu-repo/semantics/altIdentifier/doi/10.1051/mmnp/20149207 info:eu-repo/semantics/altIdentifier/issn/0973-5348 info:eu-repo/semantics/altIdentifier/eissn/1760-6101 |
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| info:eu-repo/grantAgreement/MICINN//MTM2011-27739-C04-03/ES/MODELIZACION MATEMATICA, BIOLOGIA TEORICA Y REDES COMPLEJAS/ | |
| Tots els drets reservats | |
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Epidèmies -- Models matemàtics
Epidemics -- Mathematical models |
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| Spectral properties of the connectivity matrix and the SIS-epidemic threshold for mid-size metapopulations | |
| info:eu-repo/semantics/article | |
| DUGiDocs |
