Uneven rock-paper-scissors models: patterns and coexistence
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/123456789/29861 |
Resumo: | We study a class of the stochastic May-Leonard models, with three species dominating each other in a cyclic nonhierarchical way, according to the rock-paper-scissors game. We introduce an unevenness in the system, by considering that one of the species is weaker because of a lower selection probability. The simulation results show that the pattern formation is drastically affected by the presence of the weaker species, with no spiral waves arising immediately from random initial conditions. Instead, single-species spatial domains cyclically dominate the entire territory until a region occupied by the weaker species is sufficiently narrow to be crossed by individuals without being selected. This leads to the appearance of spatial patterns responsible for the species coexistence. We verify that the asymmetry in the selection probabilities leads to different spatial autocorrelation function and average relative species abundances. Finally, we investigate the coexistence probability and show that the surviving species depends on the level of unevenness of the model and the mobility of individuals |
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Silva, Josinaldo Menezes daMoura, B.Pereira, T. A.2020-08-20T13:10:43Z2020-08-20T13:10:43Z2019MENEZES, J.; MOURA, B.; PEREIRA, T. A.. Uneven rock-paper-scissors models: patterns and coexistence. Europhysics Letters (EPL), [s.l.], v. 126, n. 1, p. 18003, 22 maio 2019. Disponível em: https://iopscience.iop.org/article/10.1209/0295-5075/126/18003. Acesso em:18 ago. 2020. http://dx.doi.org/10.1209/0295-5075/126/180030295-5075https://repositorio.ufrn.br/jspui/handle/123456789/2986110.1209/0295-5075/126/18003IOP PublishingMay-Leonard modelsUneven rock-paper-scissors models: patterns and coexistenceinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleWe study a class of the stochastic May-Leonard models, with three species dominating each other in a cyclic nonhierarchical way, according to the rock-paper-scissors game. We introduce an unevenness in the system, by considering that one of the species is weaker because of a lower selection probability. The simulation results show that the pattern formation is drastically affected by the presence of the weaker species, with no spiral waves arising immediately from random initial conditions. Instead, single-species spatial domains cyclically dominate the entire territory until a region occupied by the weaker species is sufficiently narrow to be crossed by individuals without being selected. This leads to the appearance of spatial patterns responsible for the species coexistence. We verify that the asymmetry in the selection probabilities leads to different spatial autocorrelation function and average relative species abundances. Finally, we investigate the coexistence probability and show that the surviving species depends on the level of unevenness of the model and the mobility of individualsengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8914https://repositorio.ufrn.br/bitstream/123456789/29861/2/license_rdf4d2950bda3d176f570a9f8b328dfbbefMD52TEXTUnevenRockpaperscissors_SILVA_2019.pdf.txtUnevenRockpaperscissors_SILVA_2019.pdf.txtExtracted texttext/plain24378https://repositorio.ufrn.br/bitstream/123456789/29861/4/UnevenRockpaperscissors_SILVA_2019.pdf.txt983ebfdff00c1ad498dc80f0ea446557MD54THUMBNAILUnevenRockpaperscissors_SILVA_2019.pdf.jpgUnevenRockpaperscissors_SILVA_2019.pdf.jpgGenerated Thumbnailimage/jpeg1146https://repositorio.ufrn.br/bitstream/123456789/29861/5/UnevenRockpaperscissors_SILVA_2019.pdf.jpg6478b5f790e1515e3a34f7a095c8469bMD55LICENSElicense.txtlicense.txttext/plain; charset=utf-81569https://repositorio.ufrn.br/bitstream/123456789/29861/3/license.txt6e6f57145bc87daf99079f06b081ff9fMD53123456789/298612022-10-19 18:16:30.437oai:https://repositorio.ufrn.br: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ório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2022-10-19T21:16:30Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false |
dc.title.pt_BR.fl_str_mv |
Uneven rock-paper-scissors models: patterns and coexistence |
title |
Uneven rock-paper-scissors models: patterns and coexistence |
spellingShingle |
Uneven rock-paper-scissors models: patterns and coexistence Silva, Josinaldo Menezes da May-Leonard models |
title_short |
Uneven rock-paper-scissors models: patterns and coexistence |
title_full |
Uneven rock-paper-scissors models: patterns and coexistence |
title_fullStr |
Uneven rock-paper-scissors models: patterns and coexistence |
title_full_unstemmed |
Uneven rock-paper-scissors models: patterns and coexistence |
title_sort |
Uneven rock-paper-scissors models: patterns and coexistence |
author |
Silva, Josinaldo Menezes da |
author_facet |
Silva, Josinaldo Menezes da Moura, B. Pereira, T. A. |
author_role |
author |
author2 |
Moura, B. Pereira, T. A. |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Silva, Josinaldo Menezes da Moura, B. Pereira, T. A. |
dc.subject.por.fl_str_mv |
May-Leonard models |
topic |
May-Leonard models |
description |
We study a class of the stochastic May-Leonard models, with three species dominating each other in a cyclic nonhierarchical way, according to the rock-paper-scissors game. We introduce an unevenness in the system, by considering that one of the species is weaker because of a lower selection probability. The simulation results show that the pattern formation is drastically affected by the presence of the weaker species, with no spiral waves arising immediately from random initial conditions. Instead, single-species spatial domains cyclically dominate the entire territory until a region occupied by the weaker species is sufficiently narrow to be crossed by individuals without being selected. This leads to the appearance of spatial patterns responsible for the species coexistence. We verify that the asymmetry in the selection probabilities leads to different spatial autocorrelation function and average relative species abundances. Finally, we investigate the coexistence probability and show that the surviving species depends on the level of unevenness of the model and the mobility of individuals |
publishDate |
2019 |
dc.date.issued.fl_str_mv |
2019 |
dc.date.accessioned.fl_str_mv |
2020-08-20T13:10:43Z |
dc.date.available.fl_str_mv |
2020-08-20T13:10:43Z |
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 |
MENEZES, J.; MOURA, B.; PEREIRA, T. A.. Uneven rock-paper-scissors models: patterns and coexistence. Europhysics Letters (EPL), [s.l.], v. 126, n. 1, p. 18003, 22 maio 2019. Disponível em: https://iopscience.iop.org/article/10.1209/0295-5075/126/18003. Acesso em:18 ago. 2020. http://dx.doi.org/10.1209/0295-5075/126/18003 |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/jspui/handle/123456789/29861 |
dc.identifier.issn.none.fl_str_mv |
0295-5075 |
dc.identifier.doi.none.fl_str_mv |
10.1209/0295-5075/126/18003 |
identifier_str_mv |
MENEZES, J.; MOURA, B.; PEREIRA, T. A.. Uneven rock-paper-scissors models: patterns and coexistence. Europhysics Letters (EPL), [s.l.], v. 126, n. 1, p. 18003, 22 maio 2019. Disponível em: https://iopscience.iop.org/article/10.1209/0295-5075/126/18003. Acesso em:18 ago. 2020. http://dx.doi.org/10.1209/0295-5075/126/18003 0295-5075 10.1209/0295-5075/126/18003 |
url |
https://repositorio.ufrn.br/jspui/handle/123456789/29861 |
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 |
IOP Publishing |
publisher.none.fl_str_mv |
IOP Publishing |
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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