A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator
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 c...
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2018/2952791 |
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| _version_ | 1832567064862130176 |
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| author | Ahmed Sami Abdulghafour Raid Kamel Naji |
| author_facet | Ahmed Sami Abdulghafour Raid Kamel Naji |
| author_sort | Ahmed Sami Abdulghafour |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-deea8e1a266740d288473794ac9a622e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-deea8e1a266740d288473794ac9a622e2025-02-03T01:02:26ZengWileyJournal of Applied Mathematics1110-757X1687-00422018-01-01201810.1155/2018/29527912952791A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from PredatorAhmed Sami Abdulghafour0Raid Kamel Naji1Scientific Affairs Department, Aliraqia University, Baghdad, IraqDepartment of Mathematics, College of Science, University of Baghdad, Baghdad, IraqIn 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.http://dx.doi.org/10.1155/2018/2952791 |
| spellingShingle | Ahmed Sami Abdulghafour Raid Kamel Naji A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator Journal of Applied Mathematics |
| title | A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator |
| title_full | A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator |
| title_fullStr | A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator |
| title_full_unstemmed | A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator |
| title_short | A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator |
| title_sort | study of a diseased prey predator model with refuge in prey and harvesting from predator |
| url | http://dx.doi.org/10.1155/2018/2952791 |
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