Collaboration between predators and weak Allee effect in prey. Consequences on the dynamics of a predation model

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The interactions between predators and their prey in the real world are usually affected by diverse ecological phenomena acting on both the prey and the predators. Collaboration or cooperation between predators is one of those behaviors, which has received less attention from researchers than compet...

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Detalles Bibliográficos
Autores: González-Olivares, Eduardo, 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/4599
Enlace del recurso:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4599
Nivel de acceso:acceso abierto
Materia:Modelo depredador-presa
respuesta funcional
estabilidad
bifurcaciones
ciclos límites
Predator-prey model
functional response
stability
bifurcations
limit cycles
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spelling Collaboration between predators and weak Allee effect in prey. Consequences on the dynamics of a predation modelColaboración entre los depredadores y efecto Allee débil en las presas. Consecuencias en la dinámica de un modelo de depredaciónGonzález-Olivares, EduardoRojas-Palma, AlejandroModelo depredador-presarespuesta funcionalestabilidadbifurcacionesciclos límitesPredator-prey modelfunctional responsestabilitybifurcationslimit cyclesThe interactions between predators and their prey in the real world are usually affected by diverse ecological phenomena acting on both the prey and the predators. Collaboration or cooperation between predators is one of those behaviors, which has received less attention from researchers than competition among consumers. These contacts are important aspects of the dynamics of food chains and trophic webs. In this work, we will study the influence of collaboration or cooperation (hunting cooperation) between predators to consume (or capture) their favorite prey, which are affected by an effect Allee weak. We extend the results obtained in a previously published model, considering only collaboration between predators and in which the Allee effect is absent.Las interacciones entre los depredadores y sus presas en el mundo real son afectadas usualmente por diversos fenómenos ecológicos actuando tanto en las presas como en los depredadores. La colaboración o cooperación entre los depredadores es una de esas conductas, la cual ha recibido menor atención de los investigadores que la competición entre los consumidores. Estas conductas influyen de manera importante en las dinámicas de las cadenas alimenticias o redes tróficas. En este trabajo, estudiaremos la influencia de la colaboración o cooperación (hunting cooperation) entre los depredadores para consumir (o capturar) a sus presas favoritas, las cuales son afectadas por un efecto Allee débil.National University of Trujillo - Academic Department of Mathematics2022-07-27info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/4599Selecciones Matemáticas; Vol. 9 No. 01 (2022): January - July; 173 - 183Selecciones Matemáticas; Vol. 9 Núm. 01 (2022): Enero - Julio; 173 - 183Selecciones Matemáticas; v. 9 n. 01 (2022): Janeiro - Julho; 173 - 1832411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUspahttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/4599/4995Derechos de autor 2022 Selecciones Matemáticashttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/45992022-07-27T15:32:31Z
dc.title.none.fl_str_mv Collaboration between predators and weak Allee effect in prey. Consequences on the dynamics of a predation model
Colaboración entre los depredadores y efecto Allee débil en las presas. Consecuencias en la dinámica de un modelo de depredación
title Collaboration between predators and weak Allee effect in prey. Consequences on the dynamics of a predation model
spellingShingle Collaboration between predators and weak Allee effect in prey. Consequences on the dynamics of a predation model
González-Olivares, Eduardo
Modelo depredador-presa
respuesta funcional
estabilidad
bifurcaciones
ciclos límites
Predator-prey model
functional response
stability
bifurcations
limit cycles
title_short Collaboration between predators and weak Allee effect in prey. Consequences on the dynamics of a predation model
title_full Collaboration between predators and weak Allee effect in prey. Consequences on the dynamics of a predation model
title_fullStr Collaboration between predators and weak Allee effect in prey. Consequences on the dynamics of a predation model
title_full_unstemmed Collaboration between predators and weak Allee effect in prey. Consequences on the dynamics of a predation model
title_sort Collaboration between predators and weak Allee effect in prey. Consequences on the dynamics of a predation model
dc.creator.none.fl_str_mv González-Olivares, Eduardo
Rojas-Palma, Alejandro
author González-Olivares, Eduardo
author_facet González-Olivares, Eduardo
Rojas-Palma, Alejandro
author_role author
author2 Rojas-Palma, Alejandro
author2_role author
dc.subject.none.fl_str_mv Modelo depredador-presa
respuesta funcional
estabilidad
bifurcaciones
ciclos límites
Predator-prey model
functional response
stability
bifurcations
limit cycles
topic Modelo depredador-presa
respuesta funcional
estabilidad
bifurcaciones
ciclos límites
Predator-prey model
functional response
stability
bifurcations
limit cycles
description The interactions between predators and their prey in the real world are usually affected by diverse ecological phenomena acting on both the prey and the predators. Collaboration or cooperation between predators is one of those behaviors, which has received less attention from researchers than competition among consumers. These contacts are important aspects of the dynamics of food chains and trophic webs. In this work, we will study the influence of collaboration or cooperation (hunting cooperation) between predators to consume (or capture) their favorite prey, which are affected by an effect Allee weak. We extend the results obtained in a previously published model, considering only collaboration between predators and in which the Allee effect is absent.
publishDate 2022
dc.date.none.fl_str_mv 2022-07-27
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/4599
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4599
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/4599/4995
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 No. 01 (2022): January - July; 173 - 183
Selecciones Matemáticas; Vol. 9 Núm. 01 (2022): Enero - Julio; 173 - 183
Selecciones Matemáticas; v. 9 n. 01 (2022): Janeiro - Julho; 173 - 183
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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