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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/142749
Ver los metadatos del registro completo
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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 Técnicas2025-09-29T10:32:31Zoai: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:34982025-09-29 10:32:31.318CONICET 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 |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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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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13.070432 |