Bifurcation and invariant manifolds of the logistic competition model

Detalhes bibliográficos
Autor(a) principal: Guzowska, Malgorzata
Data de Publicação: 2011
Outros Autores: Luís, Rafael, Elaydi, Saber
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.13/3771
Resumo: In this paper, we study a new logistic competition model. We will investigate stability and bifurcation of the model. In particular, we compute the invariant manifolds, including the important centre manifolds, and study their bifurcation. Saddle-node and period-doubling bifurcation route to chaos are exhibited via numerical simulations.
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spelling Bifurcation and invariant manifolds of the logistic competition modelStabilityBifurcationCompetition modelCentre manifoldsUnstable and stable manifolds.Faculdade de Ciências Exatas e da EngenhariaIn this paper, we study a new logistic competition model. We will investigate stability and bifurcation of the model. In particular, we compute the invariant manifolds, including the important centre manifolds, and study their bifurcation. Saddle-node and period-doubling bifurcation route to chaos are exhibited via numerical simulations.Taylor and FrancisDigitUMaGuzowska, MalgorzataLuís, RafaelElaydi, Saber2021-10-26T14:52:19Z2011-01-01T00:00:00Z2011-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.13/3771engGuzowska, M., Luís, R., & Elaydi, S. (2011). Bifurcation and invariant manifolds of the logistic competition model. Journal of Difference Equations and Applications, 17(12), 1851-1872. https://doi.org/10.1080/10236198.2010.50437710.1080/10236198.2010.504377info: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:10400.13/3771Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T15:07:10.018376Repositório 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 Bifurcation and invariant manifolds of the logistic competition model
title Bifurcation and invariant manifolds of the logistic competition model
spellingShingle Bifurcation and invariant manifolds of the logistic competition model
Guzowska, Malgorzata
Stability
Bifurcation
Competition model
Centre manifolds
Unstable and stable manifolds
.
Faculdade de Ciências Exatas e da Engenharia
title_short Bifurcation and invariant manifolds of the logistic competition model
title_full Bifurcation and invariant manifolds of the logistic competition model
title_fullStr Bifurcation and invariant manifolds of the logistic competition model
title_full_unstemmed Bifurcation and invariant manifolds of the logistic competition model
title_sort Bifurcation and invariant manifolds of the logistic competition model
author Guzowska, Malgorzata
author_facet Guzowska, Malgorzata
Luís, Rafael
Elaydi, Saber
author_role author
author2 Luís, Rafael
Elaydi, Saber
author2_role author
author
dc.contributor.none.fl_str_mv DigitUMa
dc.contributor.author.fl_str_mv Guzowska, Malgorzata
Luís, Rafael
Elaydi, Saber
dc.subject.por.fl_str_mv Stability
Bifurcation
Competition model
Centre manifolds
Unstable and stable manifolds
.
Faculdade de Ciências Exatas e da Engenharia
topic Stability
Bifurcation
Competition model
Centre manifolds
Unstable and stable manifolds
.
Faculdade de Ciências Exatas e da Engenharia
description In this paper, we study a new logistic competition model. We will investigate stability and bifurcation of the model. In particular, we compute the invariant manifolds, including the important centre manifolds, and study their bifurcation. Saddle-node and period-doubling bifurcation route to chaos are exhibited via numerical simulations.
publishDate 2011
dc.date.none.fl_str_mv 2011-01-01T00:00:00Z
2011-01-01T00:00:00Z
2021-10-26T14:52:19Z
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/10400.13/3771
url http://hdl.handle.net/10400.13/3771
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Guzowska, M., Luís, R., & Elaydi, S. (2011). Bifurcation and invariant manifolds of the logistic competition model. Journal of Difference Equations and Applications, 17(12), 1851-1872. https://doi.org/10.1080/10236198.2010.504377
10.1080/10236198.2010.504377
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 and Francis
publisher.none.fl_str_mv Taylor and Francis
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
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