Stability Analysis of a Modified Leslie–Gower Predation Model With Weak Allee Effect in the Prey

Arancibia-Ibarra, Claudio and Flores, José D. and van Heijster, Peter (2022) Stability Analysis of a Modified Leslie–Gower Predation Model With Weak Allee Effect in the Prey. Frontiers in Applied Mathematics and Statistics, 7. ISSN 2297-4687

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Abstract

In this manuscript, we study a Leslie–Gower predator-prey model with a hyperbolic functional response and weak Allee effect. The results reveal that the model supports coexistence and oscillation of both predator and prey populations. We also identify regions in the parameter space in which different kinds of bifurcations, such as saddle-node bifurcations, Hopf bifurcations and Bogdanov–Takens bifurcations.

Item Type: Article
Subjects: European Scholar > Mathematical Science
Depositing User: Managing Editor
Date Deposited: 02 Mar 2023 06:15
Last Modified: 07 May 2024 04:22
URI: http://article.publish4promo.com/id/eprint/862

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