Extinction or coexistence in periodic Kolmogorov systems of competitive type

Detalhes bibliográficos
Autor(a) principal: Coelho, Isabel
Data de Publicação: 2021
Outros Autores: Rebelo, Carlota, Sovrano, Elisa
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.21/14837
Resumo: We study a periodic Kolmogorov system describing two species nonlinear competition. We discuss coexistence and extinction of one or both species, and describe the domain of attraction of nontrivial periodic solutions in the axes, under conditions that generalise Gopalsamy conditions. Finally, we apply our results to a model of microbial growth and to a model of phyto-plankton competition under the e_ect of toxins.
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spelling Extinction or coexistence in periodic Kolmogorov systems of competitive typePeriodic Kolmogorov systemExtinctionCoexistenceWe study a periodic Kolmogorov system describing two species nonlinear competition. We discuss coexistence and extinction of one or both species, and describe the domain of attraction of nontrivial periodic solutions in the axes, under conditions that generalise Gopalsamy conditions. Finally, we apply our results to a model of microbial growth and to a model of phyto-plankton competition under the e_ect of toxins.American Institute of Mathematical SciencesRCIPLCoelho, IsabelRebelo, CarlotaSovrano, Elisa2022-07-15T10:16:45Z2021-122021-12-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/14837engCOELHO, Isabel; REBELO, Carlota; SOVRANO, Elisa – Extinction or coexistence in periodic Kolmogorov systems of competitive type. Discrete & Continuous Dynamical Systems. ISSN 1078-0947. Vol. 41, N.º 12 (2021), pp. 5743-5764.1078-094710.3934/dcds.20210941553-5231metadata 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:RCAAP2023-08-03T10:11:32Zoai:repositorio.ipl.pt:10400.21/14837Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:22:34.240157Repositório 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 Extinction or coexistence in periodic Kolmogorov systems of competitive type
title Extinction or coexistence in periodic Kolmogorov systems of competitive type
spellingShingle Extinction or coexistence in periodic Kolmogorov systems of competitive type
Coelho, Isabel
Periodic Kolmogorov system
Extinction
Coexistence
title_short Extinction or coexistence in periodic Kolmogorov systems of competitive type
title_full Extinction or coexistence in periodic Kolmogorov systems of competitive type
title_fullStr Extinction or coexistence in periodic Kolmogorov systems of competitive type
title_full_unstemmed Extinction or coexistence in periodic Kolmogorov systems of competitive type
title_sort Extinction or coexistence in periodic Kolmogorov systems of competitive type
author Coelho, Isabel
author_facet Coelho, Isabel
Rebelo, Carlota
Sovrano, Elisa
author_role author
author2 Rebelo, Carlota
Sovrano, Elisa
author2_role author
author
dc.contributor.none.fl_str_mv RCIPL
dc.contributor.author.fl_str_mv Coelho, Isabel
Rebelo, Carlota
Sovrano, Elisa
dc.subject.por.fl_str_mv Periodic Kolmogorov system
Extinction
Coexistence
topic Periodic Kolmogorov system
Extinction
Coexistence
description We study a periodic Kolmogorov system describing two species nonlinear competition. We discuss coexistence and extinction of one or both species, and describe the domain of attraction of nontrivial periodic solutions in the axes, under conditions that generalise Gopalsamy conditions. Finally, we apply our results to a model of microbial growth and to a model of phyto-plankton competition under the e_ect of toxins.
publishDate 2021
dc.date.none.fl_str_mv 2021-12
2021-12-01T00:00:00Z
2022-07-15T10:16:45Z
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/10400.21/14837
url http://hdl.handle.net/10400.21/14837
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv COELHO, Isabel; REBELO, Carlota; SOVRANO, Elisa – Extinction or coexistence in periodic Kolmogorov systems of competitive type. Discrete & Continuous Dynamical Systems. ISSN 1078-0947. Vol. 41, N.º 12 (2021), pp. 5743-5764.
1078-0947
10.3934/dcds.2021094
1553-5231
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eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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