Global phase portraits of a predator-prey system

We classify the global dynamics of a family of Kolmogorov systems depend-ing on three parameters which has ecological meaning as it modelizes a predator-prey system. We obtain all their topologically distinct global phase portraits in the positive quadrant of the Poincaré disc, so we provide all the...

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Autores: Diz-Pita, Érika|||0000-0002-7086-6614, Llibre, Jaume|||0000-0002-9511-5999, Otero-Espinar, M. Victoria|||0000-0002-0201-0523
Formato: artículo
Fecha de publicación:2022
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:259918
Acesso em linha:https://ddd.uab.cat/record/259918
https://dx.doi.org/urn:doi:10.14232/ejqtde.2022.1.16
Access Level:acceso abierto
Palavra-chave:Predator-prey system
Kolmogorov system
Global phase portrait
Poincaré disc
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spelling Global phase portraits of a predator-prey systemDiz-Pita, Érika|||0000-0002-7086-6614Llibre, Jaume|||0000-0002-9511-5999Otero-Espinar, M. Victoria|||0000-0002-0201-0523Predator-prey systemKolmogorov systemGlobal phase portraitPoincaré discWe classify the global dynamics of a family of Kolmogorov systems depend-ing on three parameters which has ecological meaning as it modelizes a predator-prey system. We obtain all their topologically distinct global phase portraits in the positive quadrant of the Poincaré disc, so we provide all the possible distinct dynamics of these systems. 22022-01-0120222022-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/259918https://dx.doi.org/urn:doi:10.14232/ejqtde.2022.1.16reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengAgencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2020-115155GB-I00Ministerio de Educación, Cultura y Deporte https://doi.org/10.13039/501100003176 FPU17/02125Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2019-104658GB-I00European Commission https://doi.org/10.13039/501100000780 777911open accesshttp://purl.org/coar/access_right/c_abf2Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial, la distribució, la comunicació pública de l'obra i la creació d'obres derivades, fins i tot amb finalitats comercials, sempre i quan es reconegui l'autoria de l'obra original.https://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2599182026-06-06T12:50:31Z
dc.title.none.fl_str_mv Global phase portraits of a predator-prey system
title Global phase portraits of a predator-prey system
spellingShingle Global phase portraits of a predator-prey system
Diz-Pita, Érika|||0000-0002-7086-6614
Predator-prey system
Kolmogorov system
Global phase portrait
Poincaré disc
title_short Global phase portraits of a predator-prey system
title_full Global phase portraits of a predator-prey system
title_fullStr Global phase portraits of a predator-prey system
title_full_unstemmed Global phase portraits of a predator-prey system
title_sort Global phase portraits of a predator-prey system
dc.creator.none.fl_str_mv Diz-Pita, Érika|||0000-0002-7086-6614
Llibre, Jaume|||0000-0002-9511-5999
Otero-Espinar, M. Victoria|||0000-0002-0201-0523
author Diz-Pita, Érika|||0000-0002-7086-6614
author_facet Diz-Pita, Érika|||0000-0002-7086-6614
Llibre, Jaume|||0000-0002-9511-5999
Otero-Espinar, M. Victoria|||0000-0002-0201-0523
author_role author
author2 Llibre, Jaume|||0000-0002-9511-5999
Otero-Espinar, M. Victoria|||0000-0002-0201-0523
author2_role author
author
dc.subject.none.fl_str_mv Predator-prey system
Kolmogorov system
Global phase portrait
Poincaré disc
topic Predator-prey system
Kolmogorov system
Global phase portrait
Poincaré disc
description We classify the global dynamics of a family of Kolmogorov systems depend-ing on three parameters which has ecological meaning as it modelizes a predator-prey system. We obtain all their topologically distinct global phase portraits in the positive quadrant of the Poincaré disc, so we provide all the possible distinct dynamics of these systems.
publishDate 2022
dc.date.none.fl_str_mv 2
2022-01-01
2022
2022-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://ddd.uab.cat/record/259918
https://dx.doi.org/urn:doi:10.14232/ejqtde.2022.1.16
url https://ddd.uab.cat/record/259918
https://dx.doi.org/urn:doi:10.14232/ejqtde.2022.1.16
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2020-115155GB-I00
Ministerio de Educación, Cultura y Deporte https://doi.org/10.13039/501100003176 FPU17/02125
Agencia Estatal de Investigación https://doi.org/10.13039/501100011033 PID2019-104658GB-I00
European Commission https://doi.org/10.13039/501100000780 777911
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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