Quarantine-generated phase transition in epidemic spreading

Autores
Lagorio, Cecilia; Dickinson, Mark; Vazquez, Federico; Braunstein, Lidia Adriana; Macri, Pablo Alejandro; Havlin, S.; Stanley, Harry Eugene
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the critical effect of quarantine on the propagation of epidemics on an adaptive network of social contacts. For this purpose, we analyze the susceptible-infected-recovered model in the presence of quarantine, where susceptible individuals protect themselves by disconnecting their links to infected neighbors with probability w and reconnecting them to other susceptible individuals chosen at random. Starting from a single infected individual, we show by an analytical approach and simulations that there is a phase transition at a critical rewiring (quarantine) threshold w c separating a phase ( w < w c ) where the disease reaches a large fraction of the population from a phase ( w ⩾ w c ) where the disease does not spread out. We find that in our model the topology of the network strongly affects the size of the propagation and that w c increases with the mean degree and heterogeneity of the network. We also find that w c is reduced if we perform a preferential rewiring, in which the rewiring probability is proportional to the degree of infected nodes.
Fil: Lagorio, Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Dickinson, Mark. Boston University; Estados Unidos
Fil: Vazquez, Federico. Instituto Max Planck Institut für Chemische Okologie; Alemania. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina
Fil: Braunstein, Lidia Adriana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina. Boston University; Estados Unidos
Fil: Macri, Pablo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Havlin, S.. Bar Ilan University; Israel
Fil: Stanley, Harry Eugene. Boston University; Estados Unidos
Materia
Complex Systems
Complex Networks
COVID-19
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/142749
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/142749
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Quarantine-generated phase transition in epidemic spreadingLagorio, CeciliaDickinson, MarkVazquez, FedericoBraunstein, Lidia AdrianaMacri, Pablo AlejandroHavlin, S.Stanley, Harry EugeneComplex SystemsComplex NetworksCOVID-19https://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the critical effect of quarantine on the propagation of epidemics on an adaptive network of social contacts. For this purpose, we analyze the susceptible-infected-recovered model in the presence of quarantine, where susceptible individuals protect themselves by disconnecting their links to infected neighbors with probability w and reconnecting them to other susceptible individuals chosen at random. Starting from a single infected individual, we show by an analytical approach and simulations that there is a phase transition at a critical rewiring (quarantine) threshold w c separating a phase ( w < w c ) where the disease reaches a large fraction of the population from a phase ( w ⩾ w c ) where the disease does not spread out. We find that in our model the topology of the network strongly affects the size of the propagation and that w c increases with the mean degree and heterogeneity of the network. We also find that w c is reduced if we perform a preferential rewiring, in which the rewiring probability is proportional to the degree of infected nodes.Fil: Lagorio, Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaFil: Dickinson, Mark. Boston University; Estados UnidosFil: Vazquez, Federico. Instituto Max Planck Institut für Chemische Okologie; Alemania. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; ArgentinaFil: Braunstein, Lidia Adriana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina. Boston University; Estados UnidosFil: Macri, Pablo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; ArgentinaFil: Havlin, S.. Bar Ilan University; IsraelFil: Stanley, Harry Eugene. Boston University; Estados UnidosAmerican Physical Society2011-02-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/142749Lagorio, Cecilia; Dickinson, Mark; Vazquez, Federico; Braunstein, Lidia Adriana; Macri, Pablo Alejandro; et al.; Quarantine-generated phase transition in epidemic spreading; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 83; 2; 3-2-2011; 26102-261061063-651XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.83.026102info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.83.026102info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:29:54Zoai:ri.conicet.gov.ar:11336/142749instacron: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:34982025-10-15 15:29:54.592CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Quarantine-generated phase transition in epidemic spreading
title Quarantine-generated phase transition in epidemic spreading
spellingShingle Quarantine-generated phase transition in epidemic spreading
Lagorio, Cecilia
Complex Systems
Complex Networks
COVID-19
title_short Quarantine-generated phase transition in epidemic spreading
title_full Quarantine-generated phase transition in epidemic spreading
title_fullStr Quarantine-generated phase transition in epidemic spreading
title_full_unstemmed Quarantine-generated phase transition in epidemic spreading
title_sort Quarantine-generated phase transition in epidemic spreading
dc.creator.none.fl_str_mv Lagorio, Cecilia
Dickinson, Mark
Vazquez, Federico
Braunstein, Lidia Adriana
Macri, Pablo Alejandro
Havlin, S.
Stanley, Harry Eugene
author Lagorio, Cecilia
author_facet Lagorio, Cecilia
Dickinson, Mark
Vazquez, Federico
Braunstein, Lidia Adriana
Macri, Pablo Alejandro
Havlin, S.
Stanley, Harry Eugene
author_role author
author2 Dickinson, Mark
Vazquez, Federico
Braunstein, Lidia Adriana
Macri, Pablo Alejandro
Havlin, S.
Stanley, Harry Eugene
author2_role author
author
author
author
author
author
dc.subject.none.fl_str_mv Complex Systems
Complex Networks
COVID-19
topic Complex Systems
Complex Networks
COVID-19
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 study the critical effect of quarantine on the propagation of epidemics on an adaptive network of social contacts. For this purpose, we analyze the susceptible-infected-recovered model in the presence of quarantine, where susceptible individuals protect themselves by disconnecting their links to infected neighbors with probability w and reconnecting them to other susceptible individuals chosen at random. Starting from a single infected individual, we show by an analytical approach and simulations that there is a phase transition at a critical rewiring (quarantine) threshold w c separating a phase ( w < w c ) where the disease reaches a large fraction of the population from a phase ( w ⩾ w c ) where the disease does not spread out. We find that in our model the topology of the network strongly affects the size of the propagation and that w c increases with the mean degree and heterogeneity of the network. We also find that w c is reduced if we perform a preferential rewiring, in which the rewiring probability is proportional to the degree of infected nodes.
Fil: Lagorio, Cecilia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Dickinson, Mark. Boston University; Estados Unidos
Fil: Vazquez, Federico. Instituto Max Planck Institut für Chemische Okologie; Alemania. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física de Líquidos y Sistemas Biológicos. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física de Líquidos y Sistemas Biológicos; Argentina
Fil: Braunstein, Lidia Adriana. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina. Boston University; Estados Unidos
Fil: Macri, Pablo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mar del Plata. Instituto de Investigaciones Físicas de Mar del Plata. Universidad Nacional de Mar del Plata. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Físicas de Mar del Plata; Argentina
Fil: Havlin, S.. Bar Ilan University; Israel
Fil: Stanley, Harry Eugene. Boston University; Estados Unidos
description We study the critical effect of quarantine on the propagation of epidemics on an adaptive network of social contacts. For this purpose, we analyze the susceptible-infected-recovered model in the presence of quarantine, where susceptible individuals protect themselves by disconnecting their links to infected neighbors with probability w and reconnecting them to other susceptible individuals chosen at random. Starting from a single infected individual, we show by an analytical approach and simulations that there is a phase transition at a critical rewiring (quarantine) threshold w c separating a phase ( w < w c ) where the disease reaches a large fraction of the population from a phase ( w ⩾ w c ) where the disease does not spread out. We find that in our model the topology of the network strongly affects the size of the propagation and that w c increases with the mean degree and heterogeneity of the network. We also find that w c is reduced if we perform a preferential rewiring, in which the rewiring probability is proportional to the degree of infected nodes.
publishDate 2011
dc.date.none.fl_str_mv 2011-02-03
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/11336/142749
Lagorio, Cecilia; Dickinson, Mark; Vazquez, Federico; Braunstein, Lidia Adriana; Macri, Pablo Alejandro; et al.; Quarantine-generated phase transition in epidemic spreading; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 83; 2; 3-2-2011; 26102-26106
1063-651X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/142749
identifier_str_mv Lagorio, Cecilia; Dickinson, Mark; Vazquez, Federico; Braunstein, Lidia Adriana; Macri, Pablo Alejandro; et al.; Quarantine-generated phase transition in epidemic spreading; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 83; 2; 3-2-2011; 26102-26106
1063-651X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/pre/abstract/10.1103/PhysRevE.83.026102
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.83.026102
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
application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
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
_version_ 1846083437960626176
score 13.22299

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