Interfaces with internal structures in generalized rock-paper-scissors models

Detalhes bibliográficos
Autor(a) principal: Avelino, P. P.
Data de Publicação: 2014
Outros Autores: Bazeia, D., Losano, L., Silva, Josinaldo Menezes da, Oliveira, B. F.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRN
Texto Completo: https://repositorio.ufrn.br/jspui/handle/123456789/29876
Resumo: In this work we investigate the development of stable dynamical structures along interfaces separating domains belonging to enemy partnerships in the context of cyclic predator-prey models with an even number of species N >8. We use both stochastic and field theory simulations in one and two spatial dimensions, as well as analytical arguments, to describe the association at the interfaces of mutually neutral individuals belonging to enemy partnerships and to probe their role in the development of the dynamical structures at the interfaces. We identify an interesting behavior associated with the symmetric or asymmetric evolution of the interface profiles depending on whether N/2 is odd or even, respectively. We also show that the macroscopic evolution of the interface network is not very sensitive to the internal structure of the interfaces. Although this work focuses on cyclic predator-prey models with an even number of species, we argue that the results are expected to be quite generic in the context of spatial stochastic May-Leonard models
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spelling Avelino, P. P.Bazeia, D.Losano, L.Silva, Josinaldo Menezes daOliveira, B. F.2020-08-21T13:10:37Z2020-08-21T13:10:37Z2014AVELINO, P. P.; BAZEIA, D.; LOSANO, L.; MENEZES, J.; OLIVEIRA, B. F. de. Interfaces with internal structures in generalized rock-paper-scissors models. Physical Review E, [s.l.], v. 89, n. 4, p. 042710, 21 abr. 2014. Disponível em: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.89.042710. Acesso em: 20 ago. 2020. http://dx.doi.org/10.1103/physreve.89.042710.2470-0045https://repositorio.ufrn.br/jspui/handle/123456789/2987610.1103/physreve.89.042710.American Physical SocietyPredator-prey modelsMay-Leonard modelsInterfaces with internal structures in generalized rock-paper-scissors modelsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleIn this work we investigate the development of stable dynamical structures along interfaces separating domains belonging to enemy partnerships in the context of cyclic predator-prey models with an even number of species N >8. We use both stochastic and field theory simulations in one and two spatial dimensions, as well as analytical arguments, to describe the association at the interfaces of mutually neutral individuals belonging to enemy partnerships and to probe their role in the development of the dynamical structures at the interfaces. We identify an interesting behavior associated with the symmetric or asymmetric evolution of the interface profiles depending on whether N/2 is odd or even, respectively. We also show that the macroscopic evolution of the interface network is not very sensitive to the internal structure of the interfaces. Although this work focuses on cyclic predator-prey models with an even number of species, we argue that the results are expected to be quite generic in the context of spatial stochastic May-Leonard modelsengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessORIGINALInterfacesInternalStructures_2014.pdfInterfacesInternalStructures_2014.pdfapplication/pdf1976319https://repositorio.ufrn.br/bitstream/123456789/29876/1/InterfacesInternalStructures_2014.pdf456bf94bbf288568109985b3cf1112caMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81569https://repositorio.ufrn.br/bitstream/123456789/29876/2/license.txt6e6f57145bc87daf99079f06b081ff9fMD52TEXTInterfacesInternalStructures_2014.pdf.txtInterfacesInternalStructures_2014.pdf.txtExtracted texttext/plain29396https://repositorio.ufrn.br/bitstream/123456789/29876/3/InterfacesInternalStructures_2014.pdf.txtf6faf0fce1fdeefd96f6da94d5b8c14aMD53THUMBNAILInterfacesInternalStructures_2014.pdf.jpgInterfacesInternalStructures_2014.pdf.jpgGenerated Thumbnailimage/jpeg1766https://repositorio.ufrn.br/bitstream/123456789/29876/4/InterfacesInternalStructures_2014.pdf.jpgbeff2e25b0ef19d1d043f06f8484053fMD54123456789/298762020-08-23 04:25:52.197oai:https://repositorio.ufrn.br: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ório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2020-08-23T07:25:52Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false
dc.title.pt_BR.fl_str_mv Interfaces with internal structures in generalized rock-paper-scissors models
title Interfaces with internal structures in generalized rock-paper-scissors models
spellingShingle Interfaces with internal structures in generalized rock-paper-scissors models
Avelino, P. P.
Predator-prey models
May-Leonard models
title_short Interfaces with internal structures in generalized rock-paper-scissors models
title_full Interfaces with internal structures in generalized rock-paper-scissors models
title_fullStr Interfaces with internal structures in generalized rock-paper-scissors models
title_full_unstemmed Interfaces with internal structures in generalized rock-paper-scissors models
title_sort Interfaces with internal structures in generalized rock-paper-scissors models
author Avelino, P. P.
author_facet Avelino, P. P.
Bazeia, D.
Losano, L.
Silva, Josinaldo Menezes da
Oliveira, B. F.
author_role author
author2 Bazeia, D.
Losano, L.
Silva, Josinaldo Menezes da
Oliveira, B. F.
author2_role author
author
author
author
dc.contributor.author.fl_str_mv Avelino, P. P.
Bazeia, D.
Losano, L.
Silva, Josinaldo Menezes da
Oliveira, B. F.
dc.subject.por.fl_str_mv Predator-prey models
May-Leonard models
topic Predator-prey models
May-Leonard models
description In this work we investigate the development of stable dynamical structures along interfaces separating domains belonging to enemy partnerships in the context of cyclic predator-prey models with an even number of species N >8. We use both stochastic and field theory simulations in one and two spatial dimensions, as well as analytical arguments, to describe the association at the interfaces of mutually neutral individuals belonging to enemy partnerships and to probe their role in the development of the dynamical structures at the interfaces. We identify an interesting behavior associated with the symmetric or asymmetric evolution of the interface profiles depending on whether N/2 is odd or even, respectively. We also show that the macroscopic evolution of the interface network is not very sensitive to the internal structure of the interfaces. Although this work focuses on cyclic predator-prey models with an even number of species, we argue that the results are expected to be quite generic in the context of spatial stochastic May-Leonard models
publishDate 2014
dc.date.issued.fl_str_mv 2014
dc.date.accessioned.fl_str_mv 2020-08-21T13:10:37Z
dc.date.available.fl_str_mv 2020-08-21T13:10:37Z
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.; BAZEIA, D.; LOSANO, L.; MENEZES, J.; OLIVEIRA, B. F. de. Interfaces with internal structures in generalized rock-paper-scissors models. Physical Review E, [s.l.], v. 89, n. 4, p. 042710, 21 abr. 2014. Disponível em: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.89.042710. Acesso em: 20 ago. 2020. http://dx.doi.org/10.1103/physreve.89.042710.
dc.identifier.uri.fl_str_mv https://repositorio.ufrn.br/jspui/handle/123456789/29876
dc.identifier.issn.none.fl_str_mv 2470-0045
dc.identifier.doi.none.fl_str_mv 10.1103/physreve.89.042710.
identifier_str_mv AVELINO, P. P.; BAZEIA, D.; LOSANO, L.; MENEZES, J.; OLIVEIRA, B. F. de. Interfaces with internal structures in generalized rock-paper-scissors models. Physical Review E, [s.l.], v. 89, n. 4, p. 042710, 21 abr. 2014. Disponível em: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.89.042710. Acesso em: 20 ago. 2020. http://dx.doi.org/10.1103/physreve.89.042710.
2470-0045
10.1103/physreve.89.042710.
url https://repositorio.ufrn.br/jspui/handle/123456789/29876
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 reponame:Repositório Institucional da UFRN
instname:Universidade Federal do Rio Grande do Norte (UFRN)
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