A study of a diseased prey-predator model with refuge in prey and harvesting from predator
type: Item
instance of: scholarly article
title: A study of a diseased prey-predator model with refuge in prey and harvesting from predator
zbMATH Open document ID: 1437.92151
DOI: 10.1155/2018/2952791
author: Ahmed Sami Abdulghafour
author: Raid Kamel Naji
published in: Journal of Applied Mathematics
publication date: 2019-05-07T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 92D40
zbMATH DE Number: 7051360
Wikidata QID: Q115522008
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/2952791
OpenAlex ID: W2904651957
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description: scientific article; zbMATH DE number 7051360