Local stability in 3D discrete dynamical systems: application to a Ricker competition model

Detalhes bibliográficos
Autor(a) principal: Luís, Rafael
Data de Publicação: 2017
Outros Autores: Rodrigues, Elias
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.13/4105
Resumo: A survey on the conditions of local stability of fixed points of three-dimensional discrete dynamical systems or difference equations is provided. In particular, the techniques for studying the stability of nonhyperbolic fixed points via the centre manifold theorem are presented. A nonlinear model in population dynamics is studied, namely, the Ricker competition model of three species. In addition, a conjecture about the global stability of the nontrivial fixed points of the Ricker competition model is presented.
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spelling Local stability in 3D discrete dynamical systems: application to a Ricker competition modelLocal stabilityLocal stability in 3DDiscrete dynamical systemRicker competition model.Faculdade de Ciências Exatas e da EngenhariaA survey on the conditions of local stability of fixed points of three-dimensional discrete dynamical systems or difference equations is provided. In particular, the techniques for studying the stability of nonhyperbolic fixed points via the centre manifold theorem are presented. A nonlinear model in population dynamics is studied, namely, the Ricker competition model of three species. In addition, a conjecture about the global stability of the nontrivial fixed points of the Ricker competition model is presented.HindawiDigitUMaLuís, RafaelRodrigues, Elias2022-02-24T12:27:30Z2017-01-01T00:00:00Z2017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.13/4105engLuís, R., & Rodrigues, E. (2017). Local stability in 3D discrete dynamical systems: application to a Ricker competition model. Discrete Dynamics in Nature and Society, 2017. https://doi.org/10.1155/2017/618635410.1155/2017/6186354info: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:RCAAP2022-09-05T12:57:17Zoai:digituma.uma.pt:10400.13/4105Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T15:07:55.875550Repositório 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 in 3D discrete dynamical systems: application to a Ricker competition model
title Local stability in 3D discrete dynamical systems: application to a Ricker competition model
spellingShingle Local stability in 3D discrete dynamical systems: application to a Ricker competition model
Luís, Rafael
Local stability
Local stability in 3D
Discrete dynamical system
Ricker competition model
.
Faculdade de Ciências Exatas e da Engenharia
title_short Local stability in 3D discrete dynamical systems: application to a Ricker competition model
title_full Local stability in 3D discrete dynamical systems: application to a Ricker competition model
title_fullStr Local stability in 3D discrete dynamical systems: application to a Ricker competition model
title_full_unstemmed Local stability in 3D discrete dynamical systems: application to a Ricker competition model
title_sort Local stability in 3D discrete dynamical systems: application to a Ricker competition model
author Luís, Rafael
author_facet Luís, Rafael
Rodrigues, Elias
author_role author
author2 Rodrigues, Elias
author2_role author
dc.contributor.none.fl_str_mv DigitUMa
dc.contributor.author.fl_str_mv Luís, Rafael
Rodrigues, Elias
dc.subject.por.fl_str_mv Local stability
Local stability in 3D
Discrete dynamical system
Ricker competition model
.
Faculdade de Ciências Exatas e da Engenharia
topic Local stability
Local stability in 3D
Discrete dynamical system
Ricker competition model
.
Faculdade de Ciências Exatas e da Engenharia
description A survey on the conditions of local stability of fixed points of three-dimensional discrete dynamical systems or difference equations is provided. In particular, the techniques for studying the stability of nonhyperbolic fixed points via the centre manifold theorem are presented. A nonlinear model in population dynamics is studied, namely, the Ricker competition model of three species. In addition, a conjecture about the global stability of the nontrivial fixed points of the Ricker competition model is presented.
publishDate 2017
dc.date.none.fl_str_mv 2017-01-01T00:00:00Z
2017-01-01T00:00:00Z
2022-02-24T12:27:30Z
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/10400.13/4105
url http://hdl.handle.net/10400.13/4105
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Luís, R., & Rodrigues, E. (2017). Local stability in 3D discrete dynamical systems: application to a Ricker competition model. Discrete Dynamics in Nature and Society, 2017. https://doi.org/10.1155/2017/6186354
10.1155/2017/6186354
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 Hindawi
publisher.none.fl_str_mv Hindawi
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
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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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
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