Local stability implies global stability for the planar Ricker competition model

Detalhes bibliográficos
Autor(a) principal: Cabral Balreira, E.
Data de Publicação: 2014
Outros Autores: Elaydi, Saber, Luís, R.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.13/3767
Resumo: Under certain analytic and geometric assumptions we show that local sta bility of the coexistence (positive) fixed point of the planar Ricker competition model implies global stability with respect to the interior of the positive quad rant. This result is a confluence of ideas from Dynamical Systems, Geometry, and Topology that provides a framework to the study of global stability for other planar competition models.
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spelling Local stability implies global stability for the planar Ricker competition modelCompetition modelsLocal stabilityGlobal stabilityCritical curvesCompact invariant setPrincipal preimage functionFoldCusp..Faculdade de Ciências Exatas e da EngenhariaUnder certain analytic and geometric assumptions we show that local sta bility of the coexistence (positive) fixed point of the planar Ricker competition model implies global stability with respect to the interior of the positive quad rant. This result is a confluence of ideas from Dynamical Systems, Geometry, and Topology that provides a framework to the study of global stability for other planar competition models.American Institute of Mathematical Sciences (AIMS)DigitUMaCabral Balreira, E.Elaydi, SaberLuís, R.2021-10-26T11:06:38Z2014-01-01T00:00:00Z2014-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.13/3767engBalreira, E.C., Elaydi, S., Luís, R. (2014). Local stability implies global stability for the planar Ricker competition model. Discrete and Continuous Dynamical Systems - Series B, 19(2), 323-351. doi:10.3934/dcdsb.2014.19.32310.3934/dcdsb.2014.19.323info: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:RCAAP2022-09-05T12:56:49Zoai:digituma.uma.pt:10400.13/3767Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T15:07:09.782329Repositório 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 Local stability implies global stability for the planar Ricker competition model
title Local stability implies global stability for the planar Ricker competition model
spellingShingle Local stability implies global stability for the planar Ricker competition model
Cabral Balreira, E.
Competition models
Local stability
Global stability
Critical curves
Compact invariant set
Principal preimage function
Fold
Cusp.
.
Faculdade de Ciências Exatas e da Engenharia
title_short Local stability implies global stability for the planar Ricker competition model
title_full Local stability implies global stability for the planar Ricker competition model
title_fullStr Local stability implies global stability for the planar Ricker competition model
title_full_unstemmed Local stability implies global stability for the planar Ricker competition model
title_sort Local stability implies global stability for the planar Ricker competition model
author Cabral Balreira, E.
author_facet Cabral Balreira, E.
Elaydi, Saber
Luís, R.
author_role author
author2 Elaydi, Saber
Luís, R.
author2_role author
author
dc.contributor.none.fl_str_mv DigitUMa
dc.contributor.author.fl_str_mv Cabral Balreira, E.
Elaydi, Saber
Luís, R.
dc.subject.por.fl_str_mv Competition models
Local stability
Global stability
Critical curves
Compact invariant set
Principal preimage function
Fold
Cusp.
.
Faculdade de Ciências Exatas e da Engenharia
topic Competition models
Local stability
Global stability
Critical curves
Compact invariant set
Principal preimage function
Fold
Cusp.
.
Faculdade de Ciências Exatas e da Engenharia
description Under certain analytic and geometric assumptions we show that local sta bility of the coexistence (positive) fixed point of the planar Ricker competition model implies global stability with respect to the interior of the positive quad rant. This result is a confluence of ideas from Dynamical Systems, Geometry, and Topology that provides a framework to the study of global stability for other planar competition models.
publishDate 2014
dc.date.none.fl_str_mv 2014-01-01T00:00:00Z
2014-01-01T00:00:00Z
2021-10-26T11:06:38Z
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/10400.13/3767
url http://hdl.handle.net/10400.13/3767
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Balreira, E.C., Elaydi, S., Luís, R. (2014). Local stability implies global stability for the planar Ricker competition model. Discrete and Continuous Dynamical Systems - Series B, 19(2), 323-351. doi:10.3934/dcdsb.2014.19.323
10.3934/dcdsb.2014.19.323
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 American Institute of Mathematical Sciences (AIMS)
publisher.none.fl_str_mv American Institute of Mathematical Sciences (AIMS)
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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