Nature of the epidemic threshold for the susceptible-infected-susceptible dynamics in networks

We develop an analytical approach to the susceptible-infected-susceptible epidemic model that allows us to unravel the true origin of the absence of an epidemic threshold in heterogeneous networks. We find that a delicate balance between the number of high degree nodes in the network and the topolog...

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Detalles Bibliográficos
Autores: Boguñá, Marian, Castellano, Claudio|||0000-0002-3773-3801, Pastor Satorras, Romualdo|||0000-0002-4051-6007
Tipo de recurso: artículo
Fecha de publicación:2013
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:2117/20592
Acceso en línea:https://hdl.handle.net/2117/20592
https://dx.doi.org/10.1103/PhysRevLett.111.068701
Access Level:acceso abierto
Palabra clave:Thermodynamics
Statistical physics
susceptible-infected-susceptible epidemic model
Epidemic Threshold
Termodinàmica
Física estadística
Àrees temàtiques de la UPC::Física
Descripción
Sumario:We develop an analytical approach to the susceptible-infected-susceptible epidemic model that allows us to unravel the true origin of the absence of an epidemic threshold in heterogeneous networks. We find that a delicate balance between the number of high degree nodes in the network and the topological distance between them dictates the existence or absence of such a threshold. In particular, small-world random networks with a degree distribution decaying slower than an exponential have a vanishing epidemic threshold in the thermodynamic limit.