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2018 A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator
Ahmed Sami Abdulghafour, Raid Kamel Naji
J. Appl. Math. 2018: 1-17 (2018). DOI: 10.1155/2018/2952791

Abstract

In this paper, a mathematical model of a prey-predator system with infectious disease in the prey population is proposed and studied. It is assumed that there is a constant refuge in prey as a defensive property against predation and harvesting from the predator. The proposed mathematical model is consisting of three first-order nonlinear ordinary differential equations, which describe the interaction among the healthy prey, infected prey, and predator. The existence, uniqueness, and boundedness of the system’ solution are investigated. The system's equilibrium points are calculated with studying their local and global stability. The persistence conditions of the proposed system are established. Finally the obtained analytical results are justified by a numerical simulation.

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Ahmed Sami Abdulghafour. Raid Kamel Naji. "A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator." J. Appl. Math. 2018 1 - 17, 2018. https://doi.org/10.1155/2018/2952791

Information

Received: 4 September 2018; Accepted: 14 November 2018; Published: 2018
First available in Project Euclid: 10 January 2019

zbMATH: 07051360
MathSciNet: MR3892179
Digital Object Identifier: 10.1155/2018/2952791

Rights: Copyright © 2018 Hindawi

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