Order and Chaos in a Prey-Predator Model Incorporating Refuge, Disease, and Harvesting
In this paper, a mathematical model consisting of a prey-predator system incorporating infectious disease in the prey has been proposed and analyzed. It is assumed that the predator preys upon the nonrefugees prey only according to the modified Holling type-II functional response. There is a harvest...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/5373817 |
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| author | Dahlia Khaled Bahlool Huda Abdul Satar Hiba Abdullah Ibrahim |
| author_facet | Dahlia Khaled Bahlool Huda Abdul Satar Hiba Abdullah Ibrahim |
| author_sort | Dahlia Khaled Bahlool |
| collection | DOAJ |
| description | In this paper, a mathematical model consisting of a prey-predator system incorporating infectious disease in the prey has been proposed and analyzed. It is assumed that the predator preys upon the nonrefugees prey only according to the modified Holling type-II functional response. There is a harvesting process from the predator. The existence and uniqueness of the solution in addition to their bounded are discussed. The stability analysis of the model around all possible equilibrium points is investigated. The persistence conditions of the system are established. Local bifurcation analysis in view of the Sotomayor theorem is carried out. Numerical simulation has been applied to investigate the global dynamics and specify the effect of varying the parameters. It is observed that the system has a chaotic dynamics. |
| format | Article |
| id | doaj-art-7fd54c56a42947c6a37f8a7fca95a38c |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-7fd54c56a42947c6a37f8a7fca95a38c2025-02-03T06:46:40ZengWileyJournal of Applied Mathematics1110-757X1687-00422020-01-01202010.1155/2020/53738175373817Order and Chaos in a Prey-Predator Model Incorporating Refuge, Disease, and HarvestingDahlia Khaled Bahlool0Huda Abdul Satar1Hiba Abdullah Ibrahim2Departments of Mathematics, College of Science, University of Baghdad, IraqDepartments of Mathematics, College of Science, University of Baghdad, IraqDepartments of Mathematics, College of Science, University of Baghdad, IraqIn this paper, a mathematical model consisting of a prey-predator system incorporating infectious disease in the prey has been proposed and analyzed. It is assumed that the predator preys upon the nonrefugees prey only according to the modified Holling type-II functional response. There is a harvesting process from the predator. The existence and uniqueness of the solution in addition to their bounded are discussed. The stability analysis of the model around all possible equilibrium points is investigated. The persistence conditions of the system are established. Local bifurcation analysis in view of the Sotomayor theorem is carried out. Numerical simulation has been applied to investigate the global dynamics and specify the effect of varying the parameters. It is observed that the system has a chaotic dynamics.http://dx.doi.org/10.1155/2020/5373817 |
| spellingShingle | Dahlia Khaled Bahlool Huda Abdul Satar Hiba Abdullah Ibrahim Order and Chaos in a Prey-Predator Model Incorporating Refuge, Disease, and Harvesting Journal of Applied Mathematics |
| title | Order and Chaos in a Prey-Predator Model Incorporating Refuge, Disease, and Harvesting |
| title_full | Order and Chaos in a Prey-Predator Model Incorporating Refuge, Disease, and Harvesting |
| title_fullStr | Order and Chaos in a Prey-Predator Model Incorporating Refuge, Disease, and Harvesting |
| title_full_unstemmed | Order and Chaos in a Prey-Predator Model Incorporating Refuge, Disease, and Harvesting |
| title_short | Order and Chaos in a Prey-Predator Model Incorporating Refuge, Disease, and Harvesting |
| title_sort | order and chaos in a prey predator model incorporating refuge disease and harvesting |
| url | http://dx.doi.org/10.1155/2020/5373817 |
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