Interfaces with internal structures in generalized rock-paper-scissors models
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Outros Autores: | , , , |
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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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:123456789/29876TElDRU7Dh0HCoERFIERJU1RSSUJVScOHw4NPIE7Dg08tRVhDTFVTSVZBCgoKQW8gYXNzaW5hciBlIGVudHJlZ2FyIGVzdGHCoGxpY2Vuw6dhLCBvL2EgU3IuL1NyYS4gKGF1dG9yIG91IGRldGVudG9yIGRvcyBkaXJlaXRvcyBkZSBhdXRvcik6CgoKYSkgQ29uY2VkZSDDoCBVbml2ZXJzaWRhZGUgRmVkZXJhbCBkbyBSaW8gR3JhbmRlIGRvIE5vcnRlIG8gZGlyZWl0byBuw6NvLWV4Y2x1c2l2byBkZQpyZXByb2R1emlyLCBjb252ZXJ0ZXIgKGNvbW8gZGVmaW5pZG8gYWJhaXhvKSwgY29tdW5pY2FyIGUvb3UKZGlzdHJpYnVpciBvIGRvY3VtZW50byBlbnRyZWd1ZSAoaW5jbHVpbmRvIG8gcmVzdW1vL2Fic3RyYWN0KSBlbQpmb3JtYXRvIGRpZ2l0YWwgb3UgaW1wcmVzc28gZSBlbSBxdWFscXVlciBtZWlvLgoKYikgRGVjbGFyYSBxdWUgbyBkb2N1bWVudG8gZW50cmVndWUgw6kgc2V1IHRyYWJhbGhvIG9yaWdpbmFsLCBlIHF1ZQpkZXTDqW0gbyBkaXJlaXRvIGRlIGNvbmNlZGVyIG9zIGRpcmVpdG9zIGNvbnRpZG9zIG5lc3RhwqBsaWNlbsOnYS4gRGVjbGFyYQp0YW1iw6ltIHF1ZSBhIGVudHJlZ2EgZG8gZG9jdW1lbnRvIG7Do28gaW5mcmluZ2UsIHRhbnRvIHF1YW50byBsaGUgw6kKcG9zc8OtdmVsIHNhYmVyLCBvcyBkaXJlaXRvcyBkZSBxdWFscXVlciBvdXRyYSBwZXNzb2Egb3UgZW50aWRhZGUuCgpjKSBTZSBvIGRvY3VtZW50byBlbnRyZWd1ZSBjb250w6ltIG1hdGVyaWFsIGRvIHF1YWwgbsOjbyBkZXTDqW0gb3MKZGlyZWl0b3MgZGUgYXV0b3IsIGRlY2xhcmEgcXVlIG9idGV2ZSBhdXRvcml6YcOnw6NvIGRvIGRldGVudG9yIGRvcwpkaXJlaXRvcyBkZSBhdXRvciBwYXJhIGNvbmNlZGVyIMOgIFVuaXZlcnNpZGFkZSBGZWRlcmFsIGRvIFJpbyBHcmFuZGUgZG8gTm9ydGUgb3MgZGlyZWl0b3MgcmVxdWVyaWRvcyBwb3IgZXN0YcKgbGljZW7Dp2EsIGUgcXVlIGVzc2UgbWF0ZXJpYWwgY3Vqb3MgZGlyZWl0b3Mgc8OjbyBkZQp0ZXJjZWlyb3MgZXN0w6EgY2xhcmFtZW50ZSBpZGVudGlmaWNhZG8gZSByZWNvbmhlY2lkbyBubyB0ZXh0byBvdQpjb250ZcO6ZG8gZG8gZG9jdW1lbnRvIGVudHJlZ3VlLgoKU2UgbyBkb2N1bWVudG8gZW50cmVndWUgw6kgYmFzZWFkbyBlbSB0cmFiYWxobyBmaW5hbmNpYWRvIG91IGFwb2lhZG8KcG9yIG91dHJhIGluc3RpdHVpw6fDo28gcXVlIG7Do28gYSBVbml2ZXJzaWRhZGUgRmVkZXJhbCBkbyBSaW8gR3JhbmRlIGRvIE5vcnRlLCBkZWNsYXJhIHF1ZSBjdW1wcml1IHF1YWlzcXVlciBvYnJpZ2HDp8O1ZXMgZXhpZ2lkYXMgcGVsbyByZXNwZWN0aXZvIGNvbnRyYXRvIG91IGFjb3Jkby4KCkEgVW5pdmVyc2lkYWRlIEZlZGVyYWwgZG8gUmlvIEdyYW5kZSBkbyBOb3J0ZSBpZGVudGlmaWNhcsOhIGNsYXJhbWVudGUgbyhzKSBzZXUgKHMpIG5vbWUocykgY29tbyBvIChzKSBhdXRvciAoZXMpIG91IGRldGVudG9yIChlcykgZG9zIGRpcmVpdG9zIGRvIGRvY3VtZW50bwplbnRyZWd1ZSwgZSBuw6NvIGZhcsOhIHF1YWxxdWVyIGFsdGVyYcOnw6NvLCBwYXJhIGFsw6ltIGRhcyBwZXJtaXRpZGFzIHBvcgplc3RhwqBsaWNlbsOnYS4KRepositório 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) instacron:UFRN |
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Universidade Federal do Rio Grande do Norte (UFRN) |
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UFRN |
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UFRN |
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Repositório Institucional da UFRN |
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Repositório Institucional da UFRN |
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