Local stability implies global stability for the planar Ricker competition model
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Outros Autores: | , |
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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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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1799129941782036480 |