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

Authors

  • Eduardo González-Olivares Pontificia Universidad Católica de Valparaíso, Chile. http://orcid.org/0000-0003-3907-0076
  • Alejandro Rojas-Palma Departamento de Matemática, Física y Estadística, Facultad de Ciencias Básicas, Universidad Católica del Maule, Talca, Chile.

DOI:

https://doi.org/10.17268/sel.mat.2022.01.15

Keywords:

Predator-prey model, functional response, stability, bifurcations, limit cycles

Abstract

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.

Author Biography

Eduardo González-Olivares, Pontificia Universidad Católica de Valparaíso, Chile.

Profesor titular Jubilado

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Published

2022-07-27

How to Cite

González-Olivares, E., & Rojas-Palma, A. (2022). Collaboration between predators and weak Allee effect in prey. Consequences on the dynamics of a predation model. Selecciones Matemáticas, 9(01), 173 - 183. https://doi.org/10.17268/sel.mat.2022.01.15

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