Modeling and Analyzing the Influence of Fear on the Harvested Modified Leslie-Gower Model

Authors

Abdul Rahman Mahmoud Jamil, Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq.Follow
Raid Kamel Naji, Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq.Follow

Abstract

A modified Leslie-Gower predator-prey model with a Beddington-DeAngelis functional response is proposed and studied. The purpose is to examine the effects of fear and quadratic fixed effort harvesting on the system's dynamic behavior. The model's qualitative properties, such as local equilibria stability, permanence, and global stability, are examined. The analysis of local bifurcation has been studied. It is discovered that the system experiences a saddle-node bifurcation at the survival equilibrium point whereas a transcritical bifurcation occurs at the boundary equilibrium point. Additionally established are the prerequisites for Hopf bifurcation existence. Finally, using MATLAB, a numerical investigation is conducted to verify the validity of the theoretical analysis and visualize the model dynamics.

Keywords

Bifurcation, Fear, Leslie-Gower model, Permanence, Quadratic fixed effort harvesting, Stability

Article Type

Article

How to Cite this Article

Jamil, Abdul Rahman Mahmoud and Naji, Raid Kamel (2023) "Modeling and Analyzing the Influence of Fear on the Harvested Modified Leslie-Gower Model," Baghdad Science Journal: Vol. 20: Iss. 5, Article 19.
DOI: https://doi.org/10.21123/bsj.2023.7432