Expanding spatial domains and transient scaling regimes in populations with local cyclic competition
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRN |
Texto Completo: | https://repositorio.ufrn.br/jspui/handle/123456789/29855 |
Resumo: | We investigate a six-species class of May-Leonard models leading to the formation of two types of competing spatial domains, each one inhabited by three species with their own internal cyclic rock-paper-scissors dynamics. We study the resulting population dynamics using stochastic numerical simulations in two-dimensional space. We find that as three-species domains shrink, there is an increasing probability of extinction of two of the species inhabiting the domain, with the consequent creation of one-species domains. We determine the critical initial radius beyond which these one-species spatial domains are expected to expand. We further show that a transient scaling regime, with a slower average growth rate of the characteristic length scale L of the spatial domains with time t, takes place before the transition to a standard L ∝ t 1/2 scaling law, resulting in an extended period of coexistence. |
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Avelino, P. P.Silva, Josinaldo MenezesOliveira, B. F. dePereira, T. A.2020-08-19T13:56:30Z2020-08-19T13:56:30Z2019AVELINO, P. P.; MENEZES, J.; OLIVEIRA, B. F. de; PEREIRA, T. A.. Expanding spatial domains and transient scaling regimes in populations with local cyclic competition. Physical Review E, [s.l.], v. 99, n. 5, p. 052310, 24 maio 2019. Disponível em: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.99.052310. Acesso em: 18 ago. 2020. http://dx.doi.org/10.1103/physreve.99.052310.2470-0045https://repositorio.ufrn.br/jspui/handle/123456789/2985510.1103/physreve.99.052310.American Physical SocietyMay-Leonard modelsStochastic numericalExpanding spatial domains and transient scaling regimes in populations with local cyclic competitioninfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleWe investigate a six-species class of May-Leonard models leading to the formation of two types of competing spatial domains, each one inhabited by three species with their own internal cyclic rock-paper-scissors dynamics. We study the resulting population dynamics using stochastic numerical simulations in two-dimensional space. We find that as three-species domains shrink, there is an increasing probability of extinction of two of the species inhabiting the domain, with the consequent creation of one-species domains. We determine the critical initial radius beyond which these one-species spatial domains are expected to expand. We further show that a transient scaling regime, with a slower average growth rate of the characteristic length scale L of the spatial domains with time t, takes place before the transition to a standard L ∝ t 1/2 scaling law, resulting in an extended period of coexistence.engreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessORIGINALExpandingSpatialDomains_SILVA_2019.pdfExpandingSpatialDomains_SILVA_2019.pdfapplication/pdf2322517https://repositorio.ufrn.br/bitstream/123456789/29855/1/ExpandingSpatialDomains_SILVA_2019.pdf28d1b054f660f224e0e41ac2404a69b5MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81569https://repositorio.ufrn.br/bitstream/123456789/29855/2/license.txt6e6f57145bc87daf99079f06b081ff9fMD52TEXTExpandingSpatialDomains_SILVA_2019.pdf.txtExpandingSpatialDomains_SILVA_2019.pdf.txtExtracted texttext/plain35821https://repositorio.ufrn.br/bitstream/123456789/29855/3/ExpandingSpatialDomains_SILVA_2019.pdf.txt6dfce59f6043e3066c130fcf8d075354MD53THUMBNAILExpandingSpatialDomains_SILVA_2019.pdf.jpgExpandingSpatialDomains_SILVA_2019.pdf.jpgGenerated Thumbnailimage/jpeg1707https://repositorio.ufrn.br/bitstream/123456789/29855/4/ExpandingSpatialDomains_SILVA_2019.pdf.jpg51afc01f7dd8b7857e01684c3f3e9d6aMD54123456789/298552020-08-23 04:25:49.419oai:https://repositorio.ufrn.br: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ório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2020-08-23T07:25:49Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false |
dc.title.pt_BR.fl_str_mv |
Expanding spatial domains and transient scaling regimes in populations with local cyclic competition |
title |
Expanding spatial domains and transient scaling regimes in populations with local cyclic competition |
spellingShingle |
Expanding spatial domains and transient scaling regimes in populations with local cyclic competition Avelino, P. P. May-Leonard models Stochastic numerical |
title_short |
Expanding spatial domains and transient scaling regimes in populations with local cyclic competition |
title_full |
Expanding spatial domains and transient scaling regimes in populations with local cyclic competition |
title_fullStr |
Expanding spatial domains and transient scaling regimes in populations with local cyclic competition |
title_full_unstemmed |
Expanding spatial domains and transient scaling regimes in populations with local cyclic competition |
title_sort |
Expanding spatial domains and transient scaling regimes in populations with local cyclic competition |
author |
Avelino, P. P. |
author_facet |
Avelino, P. P. Silva, Josinaldo Menezes Oliveira, B. F. de Pereira, T. A. |
author_role |
author |
author2 |
Silva, Josinaldo Menezes Oliveira, B. F. de Pereira, T. A. |
author2_role |
author author author |
dc.contributor.author.fl_str_mv |
Avelino, P. P. Silva, Josinaldo Menezes Oliveira, B. F. de Pereira, T. A. |
dc.subject.por.fl_str_mv |
May-Leonard models Stochastic numerical |
topic |
May-Leonard models Stochastic numerical |
description |
We investigate a six-species class of May-Leonard models leading to the formation of two types of competing spatial domains, each one inhabited by three species with their own internal cyclic rock-paper-scissors dynamics. We study the resulting population dynamics using stochastic numerical simulations in two-dimensional space. We find that as three-species domains shrink, there is an increasing probability of extinction of two of the species inhabiting the domain, with the consequent creation of one-species domains. We determine the critical initial radius beyond which these one-species spatial domains are expected to expand. We further show that a transient scaling regime, with a slower average growth rate of the characteristic length scale L of the spatial domains with time t, takes place before the transition to a standard L ∝ t 1/2 scaling law, resulting in an extended period of coexistence. |
publishDate |
2019 |
dc.date.issued.fl_str_mv |
2019 |
dc.date.accessioned.fl_str_mv |
2020-08-19T13:56:30Z |
dc.date.available.fl_str_mv |
2020-08-19T13:56:30Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
AVELINO, P. P.; MENEZES, J.; OLIVEIRA, B. F. de; PEREIRA, T. A.. Expanding spatial domains and transient scaling regimes in populations with local cyclic competition. Physical Review E, [s.l.], v. 99, n. 5, p. 052310, 24 maio 2019. Disponível em: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.99.052310. Acesso em: 18 ago. 2020. http://dx.doi.org/10.1103/physreve.99.052310. |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/jspui/handle/123456789/29855 |
dc.identifier.issn.none.fl_str_mv |
2470-0045 |
dc.identifier.doi.none.fl_str_mv |
10.1103/physreve.99.052310. |
identifier_str_mv |
AVELINO, P. P.; MENEZES, J.; OLIVEIRA, B. F. de; PEREIRA, T. A.. Expanding spatial domains and transient scaling regimes in populations with local cyclic competition. Physical Review E, [s.l.], v. 99, n. 5, p. 052310, 24 maio 2019. Disponível em: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.99.052310. Acesso em: 18 ago. 2020. http://dx.doi.org/10.1103/physreve.99.052310. 2470-0045 10.1103/physreve.99.052310. |
url |
https://repositorio.ufrn.br/jspui/handle/123456789/29855 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
American Physical Society |
publisher.none.fl_str_mv |
American Physical Society |
dc.source.none.fl_str_mv |
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UFRN |
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