Michaelis-Menten-Type Prey Harvesting in Discrete Modified Leslie-Gower Predator-Prey Model

M. Saqib Khan; Mujahid Abbas; Ebenezer Bonyah; Hengxiao Qi

doi:10.1155/2022/9575638

Michaelis-Menten-Type Prey Harvesting in Discrete Modified Leslie-Gower Predator-Prey Model

M. Saqib Khan
, Mujahid Abbas
, Ebenezer Bonyah
, Hengxiao Qi

Government College University Lahore
Riphah International University
China Medical University Taichung
Akenten Appiah-Menka University of Skills Training and Entrepreneurial Development
Shandong Administration College
The Res. Center of Theoretical System of Socialism with Chinese Characteristics in Shandong Province

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

9 Citations (Scopus)

Abstract

A discrete-time Michaelis-Menten-type prey harvesting is discussed in this paper, in the modified Leslie-Gower predator-prey model. Detailed analysis of the topology of nonnegative interior fixed points is given, including their existence and stability dynamics. Also, the conditions for the existence of flip and Neimark-Sacker bifurcations are derived by using the center manifold theorem and bifurcation theory. The numerical simulations are provided, using a computer package, to illustrate the consistency of theoretical results.

Original language	English
Article number	9575638
Journal	Journal of Function Spaces
Volume	2022
DOIs	https://doi.org/10.1155/2022/9575638
Publication status	Published - 2022
Externally published	Yes

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 15 Life on Land

ASJC Scopus subject areas

Analysis

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10.1155/2022/9575638

Cite this

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title = "Michaelis-Menten-Type Prey Harvesting in Discrete Modified Leslie-Gower Predator-Prey Model",

abstract = "A discrete-time Michaelis-Menten-type prey harvesting is discussed in this paper, in the modified Leslie-Gower predator-prey model. Detailed analysis of the topology of nonnegative interior fixed points is given, including their existence and stability dynamics. Also, the conditions for the existence of flip and Neimark-Sacker bifurcations are derived by using the center manifold theorem and bifurcation theory. The numerical simulations are provided, using a computer package, to illustrate the consistency of theoretical results.",

author = "Khan, \{M. Saqib\} and Mujahid Abbas and Ebenezer Bonyah and Hengxiao Qi",

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AU - Khan, M. Saqib

AU - Abbas, Mujahid

AU - Bonyah, Ebenezer

AU - Qi, Hengxiao

PY - 2022

Y1 - 2022

N2 - A discrete-time Michaelis-Menten-type prey harvesting is discussed in this paper, in the modified Leslie-Gower predator-prey model. Detailed analysis of the topology of nonnegative interior fixed points is given, including their existence and stability dynamics. Also, the conditions for the existence of flip and Neimark-Sacker bifurcations are derived by using the center manifold theorem and bifurcation theory. The numerical simulations are provided, using a computer package, to illustrate the consistency of theoretical results.

AB - A discrete-time Michaelis-Menten-type prey harvesting is discussed in this paper, in the modified Leslie-Gower predator-prey model. Detailed analysis of the topology of nonnegative interior fixed points is given, including their existence and stability dynamics. Also, the conditions for the existence of flip and Neimark-Sacker bifurcations are derived by using the center manifold theorem and bifurcation theory. The numerical simulations are provided, using a computer package, to illustrate the consistency of theoretical results.

UR - https://www.scopus.com/pages/publications/85127051646

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DO - 10.1155/2022/9575638

M3 - Article

AN - SCOPUS:85127051646

SN - 2314-8896

VL - 2022

JO - Journal of Function Spaces

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M1 - 9575638

ER -

Michaelis-Menten-Type Prey Harvesting in Discrete Modified Leslie-Gower Predator-Prey Model

Abstract

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