doi:10.1088/1742-6596/1804/1/012077

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Publication Date

Mon Feb 01 2021

Journal Name

Journal Of Physics: Conference Series

Volume

1804

DOI

10.1088/1742-6596/1804/1/012077

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The Fear Effect on a Food Chain Prey-Predator Model Incorporating a Prey Refuge and Harvesting

Zina Kh.

Azhar A.

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Abstract<p>In this paper, we investigate the impact of fear on a food chain mathematical model with prey refuge and harvesting. The prey species reproduces by to the law of logistic growth. The model is adapted from version of the Holling type-II prey-first predator and Lotka-Volterra for first predator-second predator model. The conditions, have been examined that assurance the existence of equilibrium points. Uniqueness and boundedness of the solution of the system have been achieve. The local and global dynamical behaviors are discussed and analyzed. In the end, numerical simulations are confirmed the theoretical results that obtained and to display the effectiveness of varying each parameter on our proposed model.</p>

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