Uneven rock-paper-scissors models: patterns and coexistence

Detalhes bibliográficos
Autor(a) principal: Silva, Josinaldo Menezes da
Data de Publicação: 2019
Outros Autores: Moura, B., Pereira, T. A.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRN
Texto Completo: https://repositorio.ufrn.br/jspui/handle/123456789/29861
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
id UFRN_f2d015f6db6562a0465a1ee821e0d719
oai_identifier_str oai:https://repositorio.ufrn.br:123456789/29861
network_acronym_str UFRN
network_name_str Repositório Institucional da UFRN
repository_id_str
spelling 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
instname_str Universidade Federal do Rio Grande do Norte (UFRN)
instacron_str UFRN
institution UFRN
reponame_str Repositório Institucional da UFRN
collection Repositório Institucional da UFRN
bitstream.url.fl_str_mv https://repositorio.ufrn.br/bitstream/123456789/29861/2/license_rdf
https://repositorio.ufrn.br/bitstream/123456789/29861/4/UnevenRockpaperscissors_SILVA_2019.pdf.txt
https://repositorio.ufrn.br/bitstream/123456789/29861/5/UnevenRockpaperscissors_SILVA_2019.pdf.jpg
https://repositorio.ufrn.br/bitstream/123456789/29861/3/license.txt
bitstream.checksum.fl_str_mv 4d2950bda3d176f570a9f8b328dfbbef
983ebfdff00c1ad498dc80f0ea446557
6478b5f790e1515e3a34f7a095c8469b
6e6f57145bc87daf99079f06b081ff9f
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
MD5
MD5
repository.name.fl_str_mv Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)
repository.mail.fl_str_mv
_version_ 1814832701743562752