On the numerical study of percolation and epidemic critical properties in networks

The static properties of the fundamental model for epidemics of diseases allowing immunity (susceptible-infected-removed model) are known to be derivable by an exact mapping to bond percolation. Yet when performing numerical simulations of these dynamics in a network a number of subtleties must be t...

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Detalles Bibliográficos
Autores: Castellano, Claudio|||0000-0002-3773-3801, Pastor Satorras, Romualdo|||0000-0002-4051-6007
Tipo de recurso: artículo
Fecha de publicación:2016
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:2117/99034
Acceso en línea:https://hdl.handle.net/2117/99034
https://dx.doi.org/10.1140/epjb/e2016-60953-5
Access Level:acceso abierto
Palabra clave:Percolation (Statistical physics)
Statistical mechanics
Statistical and Nonlinear Physics
Filtres digitals (Matemàtica)
Mecànica estadística
Àrees temàtiques de la UPC::Física
Descripción
Sumario:The static properties of the fundamental model for epidemics of diseases allowing immunity (susceptible-infected-removed model) are known to be derivable by an exact mapping to bond percolation. Yet when performing numerical simulations of these dynamics in a network a number of subtleties must be taken into account in order to correctly estimate the transition point and the associated critical properties. We expose these subtleties and identify the different quantities which play the role of criticality detector in the two dynamics.