Contribution of hunting cooperation and antipredator behavior to the dynamics of the harvested prey-predator system

Raid Kamel Naji

Abstract


Fear, harvesting, hunting cooperation, and antipredator behavior are all important subjects in ecology. As a result, a modified Leslie-Gower prey-predator model containing these biological aspects is mathematically constructed, when the predation processes are described using the Beddington-DeAngelis type of functional response. The solution's positivity and boundedness are studied. The qualitative characteristics of the model are explored, including stability, persistence, and bifurcation analysis. To verify the gained theoretical findings and comprehend the consequences of modifying the system's parameters on their dynamical behavior, a detailed numerical investigation is carried out using MATLAB and Mathematica. It is discovered that the presence of these components enriches the system's dynamic behavior, resulting in bi-stable behavior.

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Published: 2023-09-18

How to Cite this Article:

Raid Kamel Naji, Contribution of hunting cooperation and antipredator behavior to the dynamics of the harvested prey-predator system, Commun. Math. Biol. Neurosci., 2023 (2023), Article ID 99

Copyright © 2023 Raid Kamel Naji. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Commun. Math. Biol. Neurosci.

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