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A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator

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  • Ahmed Sami Abdulghafour
  • Raid Kamel Naji

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.

Suggested Citation

  • Ahmed Sami Abdulghafour & Raid Kamel Naji, 2018. "A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator," Journal of Applied Mathematics, Hindawi, vol. 2018, pages 1-17, December.
    • Handle: RePEc:hin:jnljam:2952791
    DOI: 10.1155/2018/2952791
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    Cited by:

    1. Zainab Saeed Abbas & Raid Kamel Naji, 2022. "Modeling and Analysis of the Influence of Fear on a Harvested Food Web System," Mathematics, MDPI, vol. 10(18), pages 1-37, September.

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