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Dynamical complexities in the Leslie–Gower predator–prey model as consequences of the Allee effect on prey
Authors:Eduardo González-Olivares  Jaime Mena-Lorca  Alejandro Rojas-Palma  José D Flores
Institution:1. Grupo de Ecología Matemática, Instituto de Matemáticas, Pontificia Universidad Católica de Valparaíso, Chile;2. Department of Mathematical Sciences, The University of South Dakota, USA
Abstract:This work deals with the analysis of a predator–prey model derived from the Leslie–Gower type model, where the most common mathematical form to express the Allee effect in the prey growth function is considered.
Keywords:Allee effect  Leslie&ndash  Gower predator&ndash  prey models  Functional response  Limit cycle  Bifurcations  Separatrix curves
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