Bifurcation Analysis and Chaos Control of a Discrete Fractional-Order Modified Leslie–Gower Model with Nonlinear Harvesting Effects

Bifurcation Analysis and Chaos Control of a Discrete Fractional-Order Modified Leslie–Gower Model with Nonlinear Harvesting Effects

This paper investigates the dynamical behavior of a discrete fractional-order modified Leslie–Gower model with a Michaelis–Menten-type harvesting mechanism and a Holling-II functional response. We analyze the existence and stability of the nonnegative equilibrium points. For the interior equilibrium...

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Bibliographic Details
Main Authors: Yao Shi, Xiaozhen Liu, Zhenyu Wang
Format: Article
Language:English
Published: MDPI AG 2024-12-01
Series:Fractal and Fractional
Subjects:
discrete fractional modified Leslie–Gower model
bifurcation
Michaelis–Menten-type harvesting
piecewise-constant argument method
chaos control
Online Access:https://www.mdpi.com/2504-3110/8/12/744
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