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Abstract

Predicting and controlling environmental dynamics requires an understanding of the intricate interaction between hunting cooperation, fear, and other biological elements in eco-epidemiological models. Studying these models is crucial for environmental sustainability and conservation, as seen by the rise in infectious diseases caused by population growth and interactions among organisms. The goal of this study is to create a novel mathematical model that takes into account contagious diseases that impact both predators and prey, as well as how cooperative hunting behavior on the part of predators causes anxiety in the prey population. Important features of the model are examined, including the existence, boundedness, uniqueness, and positivity of solutions, as well as the determination of equilibrium locations and the local stability criteria that support them. Around the equilibrium points, bifurcation analyses are performed, exposing a variety of dynamic behaviors, including multi-stability events. The theoretical conclusions are confirmed and control settings are determined by numerical simulations using MATLAB R2021a's 4th-order Runge-Kutta method.

Keywords

Eco-Epidemiological Model, Fear, Hunting Cooperation, Stability, Bifurcation.

Subject Area

Mathematics

Article Type

Article

First Page

2682

Last Page

2714

Creative Commons License

Creative Commons Attribution 4.0 International License
This work is licensed under a Creative Commons Attribution 4.0 International License.

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