Prey refuge use: its impact on the dynamics of the Lotka-Volterra model

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In several previous works, different predation models have been modified by considering the use of prey refuges, for which a partial analysis of their dynamics is done. In some of them, it is stated that the use of refuge has a stabilizing effect on the predator-prey interaction. One of the purposes...

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Detalles Bibliográficos
Autores: González Olivares, Eduardo, López-Cruz, Roxana, Rojas-Palma, Alejandro
Formato: artículo
Fecha de Publicación:2022
Institución:Universidad Nacional de Trujillo
Repositorio:Revistas - Universidad Nacional de Trujillo
Lenguaje:español
OAI Identifier:oai:ojs.revistas.unitru.edu.pe:article/4829
Enlace del recurso:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4829
Nivel de acceso:acceso abierto
Materia:Predator-prey model
refuge
stability
bifurcations
limit cycles
separatrix curves
Modelo depredador-presa
refugio
estabilidad
bifurcaciones
ciclos límites
curvas separatrices
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spelling Prey refuge use: its impact on the dynamics of the Lotka-Volterra modelUso de refugio por las presas: su impacto en la dinámica del modelo de Lotka-VolterraGonzález Olivares, EduardoLópez-Cruz, RoxanaRojas-Palma, AlejandroPredator-prey modelrefugestabilitybifurcationslimit cyclesseparatrix curvesModelo depredador-presarefugioestabilidadbifurcacionesciclos límitescurvas separatricesIn several previous works, different predation models have been modified by considering the use of prey refuges, for which a partial analysis of their dynamics is done. In some of them, it is stated that the use of refuge has a stabilizing effect on the predator-prey interaction. One of the purposes of this paper is to show that some of these new systems, derived from the Lotka-Volterra model, this assertion is not fulfilled. In this work, several of the models studied have more than one positive equilibrium point, and the behavior of the solutions is highly dependent on the initial conditionsEn diversos trabajos anteriores se han modificado diferentes modelos de depredacion considerando el uso de refugio de presas, para lo cual se efectua un analisis parcial de su dinamica. En algunos de ellos se afirma que el uso de refugio tiene un efecto estabilizador en la interaccion depredador-presa. Uno de los propositos de este trabajo es mostrar que en algunos de estos nuevos sistemas, derivados del modelo de Lotka-Volterra, no se cumple tal afirmacion.Varios de los modelos estudiados tienen mas de un punto de equilibrio positivo, y el comportamiento de las soluciones son altamente dependientes de las condiciones inicialesNational University of Trujillo - Academic Department of Mathematics2022-12-30info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/4829Selecciones Matemáticas; Vol. 9 Núm. 02 (2022): Agosto - Diciembre; 287 - 301Selecciones Matemáticas; Vol. 9 No. 02 (2022): August - December; 287 - 301Selecciones Matemáticas; v. 9 n. 02 (2022): Agosto - Dezembro; 287 - 3012411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUspahttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/4829/5185Derechos de autor 2022 Selecciones Matemáticashttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/48292022-12-30T17:16:59Z
dc.title.none.fl_str_mv Prey refuge use: its impact on the dynamics of the Lotka-Volterra model
Uso de refugio por las presas: su impacto en la dinámica del modelo de Lotka-Volterra
title Prey refuge use: its impact on the dynamics of the Lotka-Volterra model
spellingShingle Prey refuge use: its impact on the dynamics of the Lotka-Volterra model
González Olivares, Eduardo
Predator-prey model
refuge
stability
bifurcations
limit cycles
separatrix curves
Modelo depredador-presa
refugio
estabilidad
bifurcaciones
ciclos límites
curvas separatrices
title_short Prey refuge use: its impact on the dynamics of the Lotka-Volterra model
title_full Prey refuge use: its impact on the dynamics of the Lotka-Volterra model
title_fullStr Prey refuge use: its impact on the dynamics of the Lotka-Volterra model
title_full_unstemmed Prey refuge use: its impact on the dynamics of the Lotka-Volterra model
title_sort Prey refuge use: its impact on the dynamics of the Lotka-Volterra model
dc.creator.none.fl_str_mv González Olivares, Eduardo
López-Cruz, Roxana
Rojas-Palma, Alejandro
author González Olivares, Eduardo
author_facet González Olivares, Eduardo
López-Cruz, Roxana
Rojas-Palma, Alejandro
author_role author
author2 López-Cruz, Roxana
Rojas-Palma, Alejandro
author2_role author
author
dc.subject.none.fl_str_mv Predator-prey model
refuge
stability
bifurcations
limit cycles
separatrix curves
Modelo depredador-presa
refugio
estabilidad
bifurcaciones
ciclos límites
curvas separatrices
topic Predator-prey model
refuge
stability
bifurcations
limit cycles
separatrix curves
Modelo depredador-presa
refugio
estabilidad
bifurcaciones
ciclos límites
curvas separatrices
description In several previous works, different predation models have been modified by considering the use of prey refuges, for which a partial analysis of their dynamics is done. In some of them, it is stated that the use of refuge has a stabilizing effect on the predator-prey interaction. One of the purposes of this paper is to show that some of these new systems, derived from the Lotka-Volterra model, this assertion is not fulfilled. In this work, several of the models studied have more than one positive equilibrium point, and the behavior of the solutions is highly dependent on the initial conditions
publishDate 2022
dc.date.none.fl_str_mv 2022-12-30
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4829
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4829
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4829/5185
dc.rights.none.fl_str_mv Derechos de autor 2022 Selecciones Matemáticas
https://creativecommons.org/licenses/by/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Derechos de autor 2022 Selecciones Matemáticas
https://creativecommons.org/licenses/by/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
publisher.none.fl_str_mv National University of Trujillo - Academic Department of Mathematics
dc.source.none.fl_str_mv Selecciones Matemáticas; Vol. 9 Núm. 02 (2022): Agosto - Diciembre; 287 - 301
Selecciones Matemáticas; Vol. 9 No. 02 (2022): August - December; 287 - 301
Selecciones Matemáticas; v. 9 n. 02 (2022): Agosto - Dezembro; 287 - 301
2411-1783
reponame:Revistas - Universidad Nacional de Trujillo
instname:Universidad Nacional de Trujillo
instacron:UNITRU
instname_str Universidad Nacional de Trujillo
instacron_str UNITRU
institution UNITRU
reponame_str Revistas - Universidad Nacional de Trujillo
collection Revistas - Universidad Nacional de Trujillo
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 13.075366
Prey refuge use: its impact on the dynamics of the Lotka-Volterra model
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