The influence of fear on the dynamic of an eco-epidemiological system with predator subject to the weak Allee effect and harvesting

Zinah Khalid Mahmood, Huda Abdul Satar

Abstract


In this paper, an eco-epidemiological prey-predator system when the predator is subjected to the weak Allee effect, and harvesting was proposed and studied. The set of ordinary differential equations that simulate the system’s dynamic is constructed. The impact of fear and Allee’s effect on the system's dynamic behavior is one of our main objectives. The properties of the solution of the system were studied. All possible equilibrium points were determined, and their local, as well as global stabilities, were investigated. The possibility of the occurrence of local bifurcation was studied. Numerical simulation was used to further evaluate the global dynamics and understood the effects of varying parameters on the asymptotic behavior of the system. It is observed that the system has different types of attractors including stable point, periodic, and even bi-stable behavior.

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Published: 2022-09-12

How to Cite this Article:

Zinah Khalid Mahmood, Huda Abdul Satar, The influence of fear on the dynamic of an eco-epidemiological system with predator subject to the weak Allee effect and harvesting, Commun. Math. Biol. Neurosci., 2022 (2022), Article ID 90

Copyright © 2022 Zinah Khalid Mahmood, Huda Abdul Satar. 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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