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

Claudio Arancibia-Ibarra; José D. Flores; Peter van Heijster

doi:10.3389/fams.2021.731038

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

Claudio Arancibia-Ibarra^*, José D. Flores, Peter van Heijster

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

6 Citations (Scopus)

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.

Original language	English
Article number	731038
Journal	Frontiers in Applied Mathematics and Statistics
Volume	7
DOIs	https://doi.org/10.3389/fams.2021.731038
Publication status	Published - 26 Jan 2022

Keywords

bifurcations
Holling type II
Leslie–Gower model
numerical simulation
weak Allee effect

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10.3389/fams.2021.731038Licence: CC BY

https://edepot.wur.nl/566190Licence: CC BY

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

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.",

keywords = "bifurcations, Holling type II, Leslie–Gower model, numerical simulation, weak Allee effect",

author = "Claudio Arancibia-Ibarra and Flores, {Jos{\'e} D.} and {van Heijster}, Peter",

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TY - JOUR

T1 - Stability Analysis of a Modified Leslie–Gower Predation Model With Weak Allee Effect in the Prey

AU - Arancibia-Ibarra, Claudio

AU - Flores, José D.

AU - van Heijster, Peter

PY - 2022/1/26

Y1 - 2022/1/26

N2 - 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.

AB - 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.

KW - bifurcations

KW - Holling type II

KW - Leslie–Gower model

KW - numerical simulation

KW - weak Allee effect

U2 - 10.3389/fams.2021.731038

DO - 10.3389/fams.2021.731038

M3 - Article

AN - SCOPUS:85124504777

SN - 2297-4687

VL - 7

JO - Frontiers in Applied Mathematics and Statistics

JF - Frontiers in Applied Mathematics and Statistics

M1 - 731038

ER -

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

Abstract

Keywords

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