The dynamic of an eco-epidemiological model involving fear and hunting cooperation

Nabaa Hassain Fakhry, Raid Kamel Naji


In the present paper, an eco-epidemiological model consisting of diseased prey consumed by a predator with fear cost, and hunting cooperation property is formulated and studied. It is assumed that the predator doesn’t distinguish between the healthy prey and sick prey and hence it consumed both. The solution’s properties such as existence, uniqueness, positivity, and bounded are discussed. The existence and stability conditions of all possible equilibrium points are studied. The persistence requirements of the proposed system are established. The bifurcation analysis near the non-hyperbolic equilibrium points is investigated. Numerically, some simulations are carried out to validate the main findings and obtain the critical values of the bifurcation parameters, if any. It is obtained that the existence of fear controls the disease outbreak and the system's persistence. While in the case of a rising hunting cooperation rate, the induced fear may control the outbreak of disease.

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Published: 2023-06-23

How to Cite this Article:

Nabaa Hassain Fakhry, Raid Kamel Naji, The dynamic of an eco-epidemiological model involving fear and hunting cooperation, Commun. Math. Biol. Neurosci., 2023 (2023), Article ID 63

Copyright © 2023 Nabaa Hassain Fakhry, 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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