Controling delayed transitions with applications to prevent single species extinctions

Detalhes bibliográficos
Autor(a) principal: Duarte, Jorge
Data de Publicação: 2012
Outros Autores: Januário, Cristina, Martins, Nuno, Sardanyés, Josep
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.21/5131
Resumo: A new method is proposed to control delayed transitions towards extinction in single population theoretical models with discrete time undergoing saddle-node bifurcations. The control method takes advantage of the delaying properties of the saddle remnant arising after the bifurcation, and allows to sustain populations indefinitely. Our method, which is shown to work for deterministic and stochastic systems, could generally be applied to avoid transitions tied to one-dimensional maps after saddle-node bifurcations.
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spelling Controling delayed transitions with applications to prevent single species extinctionsControl TheoryNonlinear DynamicsPopulation DynamicsSaddle-NodeBifurcationsTheoretical EcologyA new method is proposed to control delayed transitions towards extinction in single population theoretical models with discrete time undergoing saddle-node bifurcations. The control method takes advantage of the delaying properties of the saddle remnant arising after the bifurcation, and allows to sustain populations indefinitely. Our method, which is shown to work for deterministic and stochastic systems, could generally be applied to avoid transitions tied to one-dimensional maps after saddle-node bifurcations.Pushpa Publishing HouseRCIPLDuarte, JorgeJanuário, CristinaMartins, NunoSardanyés, Josep2015-09-10T09:38:52Z20122012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/5131engDUARTE, J.; [et al] – Controling delayed transitions with applications to prevent single species extinctions. Advances in Differential Equations and Control Processes. Vol. 10, nr. 1 (2012), pp. 29-41metadata only accessinfo: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:RCAAP2023-08-03T09:48:06Zoai:repositorio.ipl.pt:10400.21/5131Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:14:27.263716Repositório 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 Controling delayed transitions with applications to prevent single species extinctions
title Controling delayed transitions with applications to prevent single species extinctions
spellingShingle Controling delayed transitions with applications to prevent single species extinctions
Duarte, Jorge
Control Theory
Nonlinear Dynamics
Population Dynamics
Saddle-Node
Bifurcations
Theoretical Ecology
title_short Controling delayed transitions with applications to prevent single species extinctions
title_full Controling delayed transitions with applications to prevent single species extinctions
title_fullStr Controling delayed transitions with applications to prevent single species extinctions
title_full_unstemmed Controling delayed transitions with applications to prevent single species extinctions
title_sort Controling delayed transitions with applications to prevent single species extinctions
author Duarte, Jorge
author_facet Duarte, Jorge
Januário, Cristina
Martins, Nuno
Sardanyés, Josep
author_role author
author2 Januário, Cristina
Martins, Nuno
Sardanyés, Josep
author2_role author
author
author
dc.contributor.none.fl_str_mv RCIPL
dc.contributor.author.fl_str_mv Duarte, Jorge
Januário, Cristina
Martins, Nuno
Sardanyés, Josep
dc.subject.por.fl_str_mv Control Theory
Nonlinear Dynamics
Population Dynamics
Saddle-Node
Bifurcations
Theoretical Ecology
topic Control Theory
Nonlinear Dynamics
Population Dynamics
Saddle-Node
Bifurcations
Theoretical Ecology
description A new method is proposed to control delayed transitions towards extinction in single population theoretical models with discrete time undergoing saddle-node bifurcations. The control method takes advantage of the delaying properties of the saddle remnant arising after the bifurcation, and allows to sustain populations indefinitely. Our method, which is shown to work for deterministic and stochastic systems, could generally be applied to avoid transitions tied to one-dimensional maps after saddle-node bifurcations.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-01-01T00:00:00Z
2015-09-10T09:38:52Z
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/10400.21/5131
url http://hdl.handle.net/10400.21/5131
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv DUARTE, J.; [et al] – Controling delayed transitions with applications to prevent single species extinctions. Advances in Differential Equations and Control Processes. Vol. 10, nr. 1 (2012), pp. 29-41
dc.rights.driver.fl_str_mv metadata only access
info:eu-repo/semantics/openAccess
rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Pushpa Publishing House
publisher.none.fl_str_mv Pushpa Publishing House
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
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