Michaelis-Menten-Type Prey Harvesting in Discrete Modified Leslie-Gower Predator-Prey Model-Reference-Cited by-同舟云学术

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

Published:2022-03-12 Issue: Volume:2022 Page:1-23
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Khan M. Saqib¹²,Abbas Mujahid¹³,Bonyah Ebenezer⁴^ORCID,Qi Hengxiao⁵⁶

Affiliation:

1. Department of Mathematics, Government College University, Lahore 54000, Pakistan

2. Department of Mathematics, Riphah International University - Lahore Campus, Islamabad, Pakistan

3. Department of Medical Research, China Medical University, Taichung 40402, Taiwan

4. Department of Mathematics Education, Akenten Appiah Menka University of Skills Training and Entrepreneurial Development, Kumasi, Ghana

5. Party School of Shandong Provincial Committee of the Communist Party of China (Shandong Administration College), Jinan 250014, China

6. The Research Center of Theoretical System of Socialism with Chinese Characteristics in Shandong Province, Jinan 250014, China

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.

Funder

Higher Education Commission Pakistan

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2022/9575638.pdf

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