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

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 compe...

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Main Authors: Eduardo González-Olivares, Alejandro Rojas-Palma
Format: Article
Language:Spanish
Published: Universidad Nacional de Trujillo 2022-07-01
Series:Selecciones Matemáticas
Subjects:
Online Access:https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4599
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author Eduardo González-Olivares
Alejandro Rojas-Palma
author_facet Eduardo González-Olivares
Alejandro Rojas-Palma
author_sort Eduardo González-Olivares
collection DOAJ
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.
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spelling doaj.art-0b80fe03e0f64a5896761726371980342022-12-22T01:37:13ZspaUniversidad Nacional de TrujilloSelecciones Matemáticas2411-17832022-07-0190117318310.17268/sel.mat.2022.01.15Collaboration between predators and weak Allee effect in prey. Consequences on the dynamics of a predation modelEduardo González-Olivares0https://orcid.org/0000-0003-3907-0076Alejandro Rojas-Palma1https://orcid.org/0000-0002-5837-1571Pontificia Universidad Católica de Valparaíso, Chile.Departamento de Matemática, Física y Estadística, Facultad de Ciencias Básicas, Universidad Católica del Maule, Talca, Chile.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.https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4599predator-prey modelfunctional responsestabilitybifurcationslimit cycles
spellingShingle Eduardo González-Olivares
Alejandro Rojas-Palma
Collaboration between predators and weak Allee effect in prey. Consequences on the dynamics of a predation model
Selecciones Matemáticas
predator-prey model
functional response
stability
bifurcations
limit cycles
title 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_short 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
topic predator-prey model
functional response
stability
bifurcations
limit cycles
url https://revistas.unitru.edu.pe/index.php/SSMM/article/view/4599
work_keys_str_mv AT eduardogonzalezolivares collaborationbetweenpredatorsandweakalleeeffectinpreyconsequencesonthedynamicsofapredationmodel
AT alejandrorojaspalma collaborationbetweenpredatorsandweakalleeeffectinpreyconsequencesonthedynamicsofapredationmodel