Stability and Bifurcation of a Prey-Predator-Scavenger Model in the Existence of Toxicant and Harvesting
In this paper a prey-predator-scavenger food web model is proposed and studied. It is assumed that the model considered the effect of harvesting and all the species are infected by some toxicants released by some other species. The stability analysis of all possible equilibrium points is discussed....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2019/1573516 |
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| _version_ | 1849695869965697024 |
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| author | Huda Abdul Satar Raid Kamel Naji |
| author_facet | Huda Abdul Satar Raid Kamel Naji |
| author_sort | Huda Abdul Satar |
| collection | DOAJ |
| description | In this paper a prey-predator-scavenger food web model is proposed and studied. It is assumed that the model considered the effect of harvesting and all the species are infected by some toxicants released by some other species. The stability analysis of all possible equilibrium points is discussed. The persistence conditions of the system are established. The occurrence of local bifurcation around the equilibrium points is investigated. Numerical simulation is used and the obtained solution curves are drawn to illustrate the results of the model. Finally, the nonexistence of periodic dynamics is discussed analytically as well as numerically. |
| format | Article |
| id | doaj-art-d1265934a08a429ea4e2d4a344056763 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d1265934a08a429ea4e2d4a3440567632025-08-20T03:19:38ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252019-01-01201910.1155/2019/15735161573516Stability and Bifurcation of a Prey-Predator-Scavenger Model in the Existence of Toxicant and HarvestingHuda Abdul Satar0Raid Kamel Naji1Department of Mathematics, College of Science, University of Baghdad, Baghdad, IraqDepartment of Mathematics, College of Science, University of Baghdad, Baghdad, IraqIn this paper a prey-predator-scavenger food web model is proposed and studied. It is assumed that the model considered the effect of harvesting and all the species are infected by some toxicants released by some other species. The stability analysis of all possible equilibrium points is discussed. The persistence conditions of the system are established. The occurrence of local bifurcation around the equilibrium points is investigated. Numerical simulation is used and the obtained solution curves are drawn to illustrate the results of the model. Finally, the nonexistence of periodic dynamics is discussed analytically as well as numerically.http://dx.doi.org/10.1155/2019/1573516 |
| spellingShingle | Huda Abdul Satar Raid Kamel Naji Stability and Bifurcation of a Prey-Predator-Scavenger Model in the Existence of Toxicant and Harvesting International Journal of Mathematics and Mathematical Sciences |
| title | Stability and Bifurcation of a Prey-Predator-Scavenger Model in the Existence of Toxicant and Harvesting |
| title_full | Stability and Bifurcation of a Prey-Predator-Scavenger Model in the Existence of Toxicant and Harvesting |
| title_fullStr | Stability and Bifurcation of a Prey-Predator-Scavenger Model in the Existence of Toxicant and Harvesting |
| title_full_unstemmed | Stability and Bifurcation of a Prey-Predator-Scavenger Model in the Existence of Toxicant and Harvesting |
| title_short | Stability and Bifurcation of a Prey-Predator-Scavenger Model in the Existence of Toxicant and Harvesting |
| title_sort | stability and bifurcation of a prey predator scavenger model in the existence of toxicant and harvesting |
| url | http://dx.doi.org/10.1155/2019/1573516 |
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