Stability of a Ricker-type competition model and the competitive exclusion principle

Detalhes bibliográficos
Autor(a) principal: Luís, Rafael
Data de Publicação: 2011
Outros Autores: Elaydi, Saber, Oliveira, Henrique
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.13/3774
Resumo: Our main objective is to study a Ricker-type competition model of two species. We give a complete analysis of stability and bifurcation and determine the centre manifolds, as well as stable and unstable manifolds. It is shown that the autonomous Ricker competition model exhibits subcritical bifurcation, bubbles, period doubling bifurcation, but no Neimark–Sacker bifurcations. We exhibit the region in the parameter space where the competition exclusion principle applies.
id RCAP_cc2f8df2234bf93acba8c7f21021fa39
oai_identifier_str oai:digituma.uma.pt:10400.13/3774
network_acronym_str RCAP
network_name_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository_id_str 7160
spelling Stability of a Ricker-type competition model and the competitive exclusion principleRicker competition modelPeriodic cyclesStabilityCentre manifoldStable and unstable manifoldsBifurcationExclusion principle.Faculdade de Ciências Exatas e da EngenhariaOur main objective is to study a Ricker-type competition model of two species. We give a complete analysis of stability and bifurcation and determine the centre manifolds, as well as stable and unstable manifolds. It is shown that the autonomous Ricker competition model exhibits subcritical bifurcation, bubbles, period doubling bifurcation, but no Neimark–Sacker bifurcations. We exhibit the region in the parameter space where the competition exclusion principle applies.Taylor & Francis Open AccessDigitUMaLuís, RafaelElaydi, SaberOliveira, Henrique2021-10-27T07:44:15Z2011-01-01T00:00:00Z2011-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.13/3774engLuis, R., Elaydi, S., & Oliveira, H. (2011). Stability of a Ricker-type competition model and the competitive exclusion principle. Journal of Biological Dynamics, 5(6), 636-660. tps://doi.org/10.1080/17513758.2011.58176410.1080/17513758.2011.581764info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2022-09-05T12:56:50Zoai:digituma.uma.pt:10400.13/3774Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T15:07:10.181391Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Stability of a Ricker-type competition model and the competitive exclusion principle
title Stability of a Ricker-type competition model and the competitive exclusion principle
spellingShingle Stability of a Ricker-type competition model and the competitive exclusion principle
Luís, Rafael
Ricker competition model
Periodic cycles
Stability
Centre manifold
Stable and unstable manifolds
Bifurcation
Exclusion principle
.
Faculdade de Ciências Exatas e da Engenharia
title_short Stability of a Ricker-type competition model and the competitive exclusion principle
title_full Stability of a Ricker-type competition model and the competitive exclusion principle
title_fullStr Stability of a Ricker-type competition model and the competitive exclusion principle
title_full_unstemmed Stability of a Ricker-type competition model and the competitive exclusion principle
title_sort Stability of a Ricker-type competition model and the competitive exclusion principle
author Luís, Rafael
author_facet Luís, Rafael
Elaydi, Saber
Oliveira, Henrique
author_role author
author2 Elaydi, Saber
Oliveira, Henrique
author2_role author
author
dc.contributor.none.fl_str_mv DigitUMa
dc.contributor.author.fl_str_mv Luís, Rafael
Elaydi, Saber
Oliveira, Henrique
dc.subject.por.fl_str_mv Ricker competition model
Periodic cycles
Stability
Centre manifold
Stable and unstable manifolds
Bifurcation
Exclusion principle
.
Faculdade de Ciências Exatas e da Engenharia
topic Ricker competition model
Periodic cycles
Stability
Centre manifold
Stable and unstable manifolds
Bifurcation
Exclusion principle
.
Faculdade de Ciências Exatas e da Engenharia
description Our main objective is to study a Ricker-type competition model of two species. We give a complete analysis of stability and bifurcation and determine the centre manifolds, as well as stable and unstable manifolds. It is shown that the autonomous Ricker competition model exhibits subcritical bifurcation, bubbles, period doubling bifurcation, but no Neimark–Sacker bifurcations. We exhibit the region in the parameter space where the competition exclusion principle applies.
publishDate 2011
dc.date.none.fl_str_mv 2011-01-01T00:00:00Z
2011-01-01T00:00:00Z
2021-10-27T07:44:15Z
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.uri.fl_str_mv http://hdl.handle.net/10400.13/3774
url http://hdl.handle.net/10400.13/3774
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Luis, R., Elaydi, S., & Oliveira, H. (2011). Stability of a Ricker-type competition model and the competitive exclusion principle. Journal of Biological Dynamics, 5(6), 636-660. tps://doi.org/10.1080/17513758.2011.581764
10.1080/17513758.2011.581764
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Taylor & Francis Open Access
publisher.none.fl_str_mv Taylor & Francis Open Access
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
_version_ 1799129941790425088

Registros relacionados