Epidemic thresholds of the susceptible-infected-susceptible model on networks: a comparison of numerical and theoretical results

Recent work has shown that different theoretical approaches to the dynamics of the susceptible-infected-susceptible (SIS) model for epidemics lead to qualitatively different estimates for the position of the epidemic threshold in networks. Here we present large-scale numerical simulations of the SIS...

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Detalles Bibliográficos
Autores: Ferreira, Silvio C., Castellano, Claudio|||0000-0002-3773-3801, Pastor Satorras, Romualdo|||0000-0002-4051-6007
Tipo de recurso: artículo
Fecha de publicación:2012
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:2117/19605
Acceso en línea:https://hdl.handle.net/2117/19605
https://dx.doi.org/10.1103/PhysRevE.86.041125
Access Level:acceso abierto
Palabra clave:Nonequilibrium thermodynamics
Epidemic threshold
Finite size
Prefactors
Susceptible-infected-susceptible model
Theoretical approach
Theoretical prediction
Theoretical result
Termodinàmica del desequilibri
Àrees temàtiques de la UPC::Física
Descripción
Sumario:Recent work has shown that different theoretical approaches to the dynamics of the susceptible-infected-susceptible (SIS) model for epidemics lead to qualitatively different estimates for the position of the epidemic threshold in networks. Here we present large-scale numerical simulations of the SIS dynamics on various types of networks, allowing the precise determination of the effective threshold for systems of finite size N. We compare quantitatively the numerical thresholds with theoretical predictions of the heterogeneous mean-field theory and of the quenched mean-field theory. We show that the latter is in general more accurate, scaling with N with the correct exponent, but often failing to capture the correct prefactor.