Slow epidemic extinction in populations with heterogeneous infection rates

Autores
Buono, Camila; Vazquez, Federico; Macri, Pablo Alejandro; Braunstein, L. A.
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We explore how heterogeneity in the intensity of interactions between people affects epidemic spreading. For that, we study the susceptible-infected-susceptible model on a complex network, where a link connecting individuals i and j is endowed with an infection rate β i j = λ w i j proportional to the intensity of their contact w i j , with a distribution P ( w i j ) taken from face-to-face experiments analyzed in Cattuto et al. [PLoS ONE 5, e11596 (2010)]. We find an extremely slow decay of the fraction of infected individuals, for a wide range of the control parameter λ . Using a distribution of width a we identify two large regions in the a − λ space with anomalous behaviors, which are reminiscent of rare region effects (Griffiths phases) found in models with quenched disorder. We show that the slow approach to extinction is caused by isolated small groups of highly interacting individuals, which keep epidemics alive for very long times. A mean-field approximation and a percolation approach capture with very good accuracy the absorbing-active transition line for weak (small a ) and strong (large a ) disorder, respectively.
Fil: Buono, Camila. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Fil: Vazquez, Federico. Max Planck Institut für Physik Komplexer Systeme; Alemania. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico La Plata. Instituto de Física de Líquidos y Sistemas Biológicos (i); Argentina; Argentina. Universidad Nacional de La Plata; Argentina
Fil: Macri, Pablo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Fil: Braunstein, L. A.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Boston University; Estados Unidos
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https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
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spelling Slow epidemic extinction in populations with heterogeneous infection ratesBuono, CamilaVazquez, FedericoMacri, Pablo AlejandroBraunstein, L. A.DesordenRedesComplejashttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We explore how heterogeneity in the intensity of interactions between people affects epidemic spreading. For that, we study the susceptible-infected-susceptible model on a complex network, where a link connecting individuals i and j is endowed with an infection rate β i j = λ w i j proportional to the intensity of their contact w i j , with a distribution P ( w i j ) taken from face-to-face experiments analyzed in Cattuto et al. [PLoS ONE 5, e11596 (2010)]. We find an extremely slow decay of the fraction of infected individuals, for a wide range of the control parameter λ . Using a distribution of width a we identify two large regions in the a − λ space with anomalous behaviors, which are reminiscent of rare region effects (Griffiths phases) found in models with quenched disorder. We show that the slow approach to extinction is caused by isolated small groups of highly interacting individuals, which keep epidemics alive for very long times. A mean-field approximation and a percolation approach capture with very good accuracy the absorbing-active transition line for weak (small a ) and strong (large a ) disorder, respectively.Fil: Buono, Camila. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Física; ArgentinaFil: Vazquez, Federico. Max Planck Institut für Physik Komplexer Systeme; Alemania. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico La Plata. Instituto de Física de Líquidos y Sistemas Biológicos (i); Argentina; Argentina. Universidad Nacional de La Plata; ArgentinaFil: Macri, Pablo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Física; ArgentinaFil: Braunstein, L. A.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Boston University; Estados UnidosAmer Physical Soc2013-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/14476Buono, Camila; Vazquez, Federico; Macri, Pablo Alejandro; Braunstein, L. A.; Slow epidemic extinction in populations with heterogeneous infection rates; Amer Physical Soc; Physical Review E; 88; 2; 8-2013; 22813-228142470-00452470-0053enginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.88.022813info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.88.022813info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1301.1645info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:05:08Zoai:ri.conicet.gov.ar:11336/14476instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:05:08.868CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Slow epidemic extinction in populations with heterogeneous infection rates
title Slow epidemic extinction in populations with heterogeneous infection rates
spellingShingle Slow epidemic extinction in populations with heterogeneous infection rates
Buono, Camila
Desorden
Redes
Complejas
title_short Slow epidemic extinction in populations with heterogeneous infection rates
title_full Slow epidemic extinction in populations with heterogeneous infection rates
title_fullStr Slow epidemic extinction in populations with heterogeneous infection rates
title_full_unstemmed Slow epidemic extinction in populations with heterogeneous infection rates
title_sort Slow epidemic extinction in populations with heterogeneous infection rates
dc.creator.none.fl_str_mv Buono, Camila
Vazquez, Federico
Macri, Pablo Alejandro
Braunstein, L. A.
author Buono, Camila
author_facet Buono, Camila
Vazquez, Federico
Macri, Pablo Alejandro
Braunstein, L. A.
author_role author
author2 Vazquez, Federico
Macri, Pablo Alejandro
Braunstein, L. A.
author2_role author
author
author
dc.subject.none.fl_str_mv Desorden
Redes
Complejas
topic Desorden
Redes
Complejas
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We explore how heterogeneity in the intensity of interactions between people affects epidemic spreading. For that, we study the susceptible-infected-susceptible model on a complex network, where a link connecting individuals i and j is endowed with an infection rate β i j = λ w i j proportional to the intensity of their contact w i j , with a distribution P ( w i j ) taken from face-to-face experiments analyzed in Cattuto et al. [PLoS ONE 5, e11596 (2010)]. We find an extremely slow decay of the fraction of infected individuals, for a wide range of the control parameter λ . Using a distribution of width a we identify two large regions in the a − λ space with anomalous behaviors, which are reminiscent of rare region effects (Griffiths phases) found in models with quenched disorder. We show that the slow approach to extinction is caused by isolated small groups of highly interacting individuals, which keep epidemics alive for very long times. A mean-field approximation and a percolation approach capture with very good accuracy the absorbing-active transition line for weak (small a ) and strong (large a ) disorder, respectively.
Fil: Buono, Camila. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Fil: Vazquez, Federico. Max Planck Institut für Physik Komplexer Systeme; Alemania. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico La Plata. Instituto de Física de Líquidos y Sistemas Biológicos (i); Argentina; Argentina. Universidad Nacional de La Plata; Argentina
Fil: Macri, Pablo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina
Fil: Braunstein, L. A.. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata; Argentina. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Departamento de Física; Argentina. Boston University; Estados Unidos
description We explore how heterogeneity in the intensity of interactions between people affects epidemic spreading. For that, we study the susceptible-infected-susceptible model on a complex network, where a link connecting individuals i and j is endowed with an infection rate β i j = λ w i j proportional to the intensity of their contact w i j , with a distribution P ( w i j ) taken from face-to-face experiments analyzed in Cattuto et al. [PLoS ONE 5, e11596 (2010)]. We find an extremely slow decay of the fraction of infected individuals, for a wide range of the control parameter λ . Using a distribution of width a we identify two large regions in the a − λ space with anomalous behaviors, which are reminiscent of rare region effects (Griffiths phases) found in models with quenched disorder. We show that the slow approach to extinction is caused by isolated small groups of highly interacting individuals, which keep epidemics alive for very long times. A mean-field approximation and a percolation approach capture with very good accuracy the absorbing-active transition line for weak (small a ) and strong (large a ) disorder, respectively.
publishDate 2013
dc.date.none.fl_str_mv 2013-08
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/14476
Buono, Camila; Vazquez, Federico; Macri, Pablo Alejandro; Braunstein, L. A.; Slow epidemic extinction in populations with heterogeneous infection rates; Amer Physical Soc; Physical Review E; 88; 2; 8-2013; 22813-22814
2470-0045
2470-0053
url http://hdl.handle.net/11336/14476
identifier_str_mv Buono, Camila; Vazquez, Federico; Macri, Pablo Alejandro; Braunstein, L. A.; Slow epidemic extinction in populations with heterogeneous infection rates; Amer Physical Soc; Physical Review E; 88; 2; 8-2013; 22813-22814
2470-0045
2470-0053
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.88.022813
info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.88.022813
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1301.1645
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Amer Physical Soc
publisher.none.fl_str_mv Amer Physical Soc
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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