Autor segons l'article: Gómez S; Gómez-Gardeñes J; Moreno Y; Arenas A
Departament: Enginyeria Informàtica i Matemàtiques
Autor/s de la URV: Arenas Moreno, Alejandro / Gómez Jiménez, Sergio
Paraules clau: Susceptible-infected-susceptible Structural pattern Probabilistic descriptions Predictive power Nonperturbative Network science Monte carlo simulation Monte carlo methods Mean field approach Linear approximations Intelligent systems Fixed-point iterations First order Epidemiology Epidemic threshold Epidemic spreading Epidemic propagation Computer simulation Computational time Complex networks
Resum: Since roughly a decade ago, network science has focused among others on the problem of how the spreading of diseases depends on structural patterns. Here, we contribute to further advance our understanding of epidemic spreading processes by proposing a nonperturbative formulation of the heterogeneous mean-field approach that has been commonly used in the physics literature to deal with this kind of spreading phenomena. The nonperturbative equations we propose have no assumption about the proximity of the system to the epidemic threshold, nor any linear approximation of the dynamics. In particular, we first develop a probabilistic description at the node level of the epidemic propagation for the so-called susceptible-infected-susceptible family of models, and after we derive the corresponding heterogeneous mean-field approach. We propose to use the full extension of the approach instead of pruning the expansion to first order, which leads to a nonperturbative formulation that can be solved by fixed-point iteration, and used with reliability far away from the epidemic threshold to assess the prevalence of the epidemics. Our results are in close agreement with Monte Carlo simulations, thus enhancing the predictive power of the classical heterogeneous mean-field approach, while providing a more effective framework in terms of computational time. © 2011 American Physical Society.
Àrees temàtiques: Zootecnia / recursos pesqueiros Statistics and probability Statistical and nonlinear physics Saúde coletiva Química Physics, mathematical Physics, fluids & plasmas Odontología Medicina ii Medicina i Materiais Matemática / probabilidade e estatística Interdisciplinar Geociências General medicine Farmacia Engenharias iv Engenharias iii Engenharias ii Educação física Educação Economia Condensed matter physics Ciências biológicas ii Ciências biológicas i Ciências ambientais Ciências agrárias i Ciência da computação Biotecnología Biodiversidade Astronomia / física
Accès a la llicència d'ús: https://creativecommons.org/licenses/by/3.0/es/
Adreça de correu electrònic de l'autor: alexandre.arenas@urv.cat sergio.gomez@urv.cat
Identificador de l'autor: 0000-0003-0937-0334 0000-0003-1820-0062
Data d'alta del registre: 2023-02-19
Versió de l'article dipositat: info:eu-repo/semantics/submittedVersion
Enllaç font original: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.84.036105
Referència a l'article segons font original: Physical Review e. 84 (3):
Referència de l'ítem segons les normes APA: Gómez S; Gómez-Gardeñes J; Moreno Y; Arenas A (2011). Nonperturbative heterogeneous mean-field approach to epidemic spreading in complex networks. Physical Review e, 84(3), -. DOI: 10.1103/PhysRevE.84.036105
URL Document de llicència: http://repositori.urv.cat/ca/proteccio-de-dades/
DOI de l'article: 10.1103/PhysRevE.84.036105
Entitat: Universitat Rovira i Virgili
Any de publicació de la revista: 2011
Tipus de publicació: Journal Publications
Repositori URV