Dynamics of a two prey and one predator system with indirect effect

We study a population model with two preys and one predator, considering a Holling type II functional response for the interaction between first prey and predator and taking into account indirect effect of predation. We perform the stability analysis of equilibria and study the possibility of Hopf b...

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Autores: Colucci, Renato|||0000-0002-1171-0062, Diz-Pita, Érika|||0000-0002-7086-6614, Otero-Espinar, M. Victoria|||0000-0002-0201-0523
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:239788
Acceso en línea:https://ddd.uab.cat/record/239788
https://dx.doi.org/urn:doi:10.3390/math9040436
Access Level:acceso abierto
Palabra clave:Predator-prey
Hopf bifurcation
Indirect effects of predation
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spelling Dynamics of a two prey and one predator system with indirect effectColucci, Renato|||0000-0002-1171-0062Diz-Pita, Érika|||0000-0002-7086-6614Otero-Espinar, M. Victoria|||0000-0002-0201-0523Predator-preyHopf bifurcationIndirect effects of predationWe study a population model with two preys and one predator, considering a Holling type II functional response for the interaction between first prey and predator and taking into account indirect effect of predation. We perform the stability analysis of equilibria and study the possibility of Hopf bifurcation. We also include a detailed discussion on the problem of persistence. Several numerical simulations are provided in order to illustrate the theoretical results of the paper. 22021-01-0120212021-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/239788https://dx.doi.org/urn:doi:10.3390/math9040436reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengMinisterio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-79661-PMinisterio de Educación, Cultura y Deporte https://doi.org/10.13039/501100003176 FPU17/02125open 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:2397882026-06-06T12:50:31Z
dc.title.none.fl_str_mv Dynamics of a two prey and one predator system with indirect effect
title Dynamics of a two prey and one predator system with indirect effect
spellingShingle Dynamics of a two prey and one predator system with indirect effect
Colucci, Renato|||0000-0002-1171-0062
Predator-prey
Hopf bifurcation
Indirect effects of predation
title_short Dynamics of a two prey and one predator system with indirect effect
title_full Dynamics of a two prey and one predator system with indirect effect
title_fullStr Dynamics of a two prey and one predator system with indirect effect
title_full_unstemmed Dynamics of a two prey and one predator system with indirect effect
title_sort Dynamics of a two prey and one predator system with indirect effect
dc.creator.none.fl_str_mv Colucci, Renato|||0000-0002-1171-0062
Diz-Pita, Érika|||0000-0002-7086-6614
Otero-Espinar, M. Victoria|||0000-0002-0201-0523
author Colucci, Renato|||0000-0002-1171-0062
author_facet Colucci, Renato|||0000-0002-1171-0062
Diz-Pita, Érika|||0000-0002-7086-6614
Otero-Espinar, M. Victoria|||0000-0002-0201-0523
author_role author
author2 Diz-Pita, Érika|||0000-0002-7086-6614
Otero-Espinar, M. Victoria|||0000-0002-0201-0523
author2_role author
author
dc.subject.none.fl_str_mv Predator-prey
Hopf bifurcation
Indirect effects of predation
topic Predator-prey
Hopf bifurcation
Indirect effects of predation
description We study a population model with two preys and one predator, considering a Holling type II functional response for the interaction between first prey and predator and taking into account indirect effect of predation. We perform the stability analysis of equilibria and study the possibility of Hopf bifurcation. We also include a detailed discussion on the problem of persistence. Several numerical simulations are provided in order to illustrate the theoretical results of the paper.
publishDate 2021
dc.date.none.fl_str_mv 2
2021-01-01
2021
2021-01-01
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/239788
https://dx.doi.org/urn:doi:10.3390/math9040436
url https://ddd.uab.cat/record/239788
https://dx.doi.org/urn:doi:10.3390/math9040436
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Ministerio de Economía y Competitividad https://doi.org/10.13039/501100003329 MTM2016-79661-P
Ministerio de Educación, Cultura y Deporte https://doi.org/10.13039/501100003176 FPU17/02125
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
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