Spectral properties of the connectivity matrix and the SIS-epidemic threshold for mid-size metapopulations
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-t...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/22912 |
| Acceso en línea: | https://hdl.handle.net/2117/22912 https://dx.doi.org/10.1051/mmnp/20149207 |
| Access Level: | acceso abierto |
| Palabra clave: | Graph theory Complex Networks SIS epidemic Complex networks Grafs, Teoria de Anàlisi de xarxes (Planificació) Classificació AMS::05 Combinatorics::05C Graph theory Classificació AMS::60 Probability theory and stochastic processes::60J Markov processes Classificació AMS::37 Dynamical systems and ergodic theory::37N Applications Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica::Algorísmica i teoria de la complexitat Àrees temàtiques de la UPC::Matemàtiques i estadística::Probabilitat Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Teoria de grafs |
| Sumario: | 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. |
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