Expanding spatial domains and transient scaling regimes in populations with local cyclic competition

Detalhes bibliográficos
Autor(a) principal: Avelino, P. P.
Data de Publicação: 2019
Outros Autores: Silva, Josinaldo Menezes, Oliveira, B. F. de, Pereira, T. A.
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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spelling 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:123456789/29855TElDRU7Dh0HCoERFIERJU1RSSUJVScOHw4NPIE7Dg08tRVhDTFVTSVZBCgoKQW8gYXNzaW5hciBlIGVudHJlZ2FyIGVzdGHCoGxpY2Vuw6dhLCBvL2EgU3IuL1NyYS4gKGF1dG9yIG91IGRldGVudG9yIGRvcyBkaXJlaXRvcyBkZSBhdXRvcik6CgoKYSkgQ29uY2VkZSDDoCBVbml2ZXJzaWRhZGUgRmVkZXJhbCBkbyBSaW8gR3JhbmRlIGRvIE5vcnRlIG8gZGlyZWl0byBuw6NvLWV4Y2x1c2l2byBkZQpyZXByb2R1emlyLCBjb252ZXJ0ZXIgKGNvbW8gZGVmaW5pZG8gYWJhaXhvKSwgY29tdW5pY2FyIGUvb3UKZGlzdHJpYnVpciBvIGRvY3VtZW50byBlbnRyZWd1ZSAoaW5jbHVpbmRvIG8gcmVzdW1vL2Fic3RyYWN0KSBlbQpmb3JtYXRvIGRpZ2l0YWwgb3UgaW1wcmVzc28gZSBlbSBxdWFscXVlciBtZWlvLgoKYikgRGVjbGFyYSBxdWUgbyBkb2N1bWVudG8gZW50cmVndWUgw6kgc2V1IHRyYWJhbGhvIG9yaWdpbmFsLCBlIHF1ZQpkZXTDqW0gbyBkaXJlaXRvIGRlIGNvbmNlZGVyIG9zIGRpcmVpdG9zIGNvbnRpZG9zIG5lc3RhwqBsaWNlbsOnYS4gRGVjbGFyYQp0YW1iw6ltIHF1ZSBhIGVudHJlZ2EgZG8gZG9jdW1lbnRvIG7Do28gaW5mcmluZ2UsIHRhbnRvIHF1YW50byBsaGUgw6kKcG9zc8OtdmVsIHNhYmVyLCBvcyBkaXJlaXRvcyBkZSBxdWFscXVlciBvdXRyYSBwZXNzb2Egb3UgZW50aWRhZGUuCgpjKSBTZSBvIGRvY3VtZW50byBlbnRyZWd1ZSBjb250w6ltIG1hdGVyaWFsIGRvIHF1YWwgbsOjbyBkZXTDqW0gb3MKZGlyZWl0b3MgZGUgYXV0b3IsIGRlY2xhcmEgcXVlIG9idGV2ZSBhdXRvcml6YcOnw6NvIGRvIGRldGVudG9yIGRvcwpkaXJlaXRvcyBkZSBhdXRvciBwYXJhIGNvbmNlZGVyIMOgIFVuaXZlcnNpZGFkZSBGZWRlcmFsIGRvIFJpbyBHcmFuZGUgZG8gTm9ydGUgb3MgZGlyZWl0b3MgcmVxdWVyaWRvcyBwb3IgZXN0YcKgbGljZW7Dp2EsIGUgcXVlIGVzc2UgbWF0ZXJpYWwgY3Vqb3MgZGlyZWl0b3Mgc8OjbyBkZQp0ZXJjZWlyb3MgZXN0w6EgY2xhcmFtZW50ZSBpZGVudGlmaWNhZG8gZSByZWNvbmhlY2lkbyBubyB0ZXh0byBvdQpjb250ZcO6ZG8gZG8gZG9jdW1lbnRvIGVudHJlZ3VlLgoKU2UgbyBkb2N1bWVudG8gZW50cmVndWUgw6kgYmFzZWFkbyBlbSB0cmFiYWxobyBmaW5hbmNpYWRvIG91IGFwb2lhZG8KcG9yIG91dHJhIGluc3RpdHVpw6fDo28gcXVlIG7Do28gYSBVbml2ZXJzaWRhZGUgRmVkZXJhbCBkbyBSaW8gR3JhbmRlIGRvIE5vcnRlLCBkZWNsYXJhIHF1ZSBjdW1wcml1IHF1YWlzcXVlciBvYnJpZ2HDp8O1ZXMgZXhpZ2lkYXMgcGVsbyByZXNwZWN0aXZvIGNvbnRyYXRvIG91IGFjb3Jkby4KCkEgVW5pdmVyc2lkYWRlIEZlZGVyYWwgZG8gUmlvIEdyYW5kZSBkbyBOb3J0ZSBpZGVudGlmaWNhcsOhIGNsYXJhbWVudGUgbyhzKSBzZXUgKHMpIG5vbWUocykgY29tbyBvIChzKSBhdXRvciAoZXMpIG91IGRldGVudG9yIChlcykgZG9zIGRpcmVpdG9zIGRvIGRvY3VtZW50bwplbnRyZWd1ZSwgZSBuw6NvIGZhcsOhIHF1YWxxdWVyIGFsdGVyYcOnw6NvLCBwYXJhIGFsw6ltIGRhcyBwZXJtaXRpZGFzIHBvcgplc3RhwqBsaWNlbsOnYS4KRepositório 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.
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dc.language.iso.fl_str_mv eng
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dc.publisher.none.fl_str_mv American Physical Society
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