An Eco-Epidemiological Model Incorporating Harvesting Factors
The biological system relies heavily on the interaction between prey and predator. Infections may spread from prey to predators or vice versa. This study proposes a virus-controlled prey-predator system with a Crowley–Martin functional response in the prey and an SI-type in the prey. A prey-predator...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-11-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/11/2179 |
| _version_ | 1797508385855242240 |
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| author | Kawa Hassan Arkan Mustafa Mudhafar Hama |
| author_facet | Kawa Hassan Arkan Mustafa Mudhafar Hama |
| author_sort | Kawa Hassan |
| collection | DOAJ |
| description | The biological system relies heavily on the interaction between prey and predator. Infections may spread from prey to predators or vice versa. This study proposes a virus-controlled prey-predator system with a Crowley–Martin functional response in the prey and an SI-type in the prey. A prey-predator model in which the predator uses both susceptible and sick prey is used to investigate the influence of harvesting parameters on the formation of dynamical fluctuations and stability at the interior equilibrium point. In the analytical section, we outlined the current circumstances for all possible equilibria. The stability of the system has also been explored, and the required conditions for the model’s stability at the equilibrium point have been found. In addition, we give numerical verification for our analytical findings with the help of graphical illustrations. |
| first_indexed | 2024-03-10T05:01:24Z |
| format | Article |
| id | doaj.art-a2d890f43aa842258bd9485a23d009d9 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T05:01:24Z |
| publishDate | 2021-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-a2d890f43aa842258bd9485a23d009d92023-11-23T01:46:26ZengMDPI AGSymmetry2073-89942021-11-011311217910.3390/sym13112179An Eco-Epidemiological Model Incorporating Harvesting FactorsKawa Hassan0Arkan Mustafa1Mudhafar Hama2Department of Mathematics, College of Science, University of Sulaimani, Sulaymaniyah 46001, Kurdistan Region, IraqDepartment of Mathematics, College of Science, University of Sulaimani, Sulaymaniyah 46001, Kurdistan Region, IraqDepartment of Mathematics, College of Science, University of Sulaimani, Sulaymaniyah 46001, Kurdistan Region, IraqThe biological system relies heavily on the interaction between prey and predator. Infections may spread from prey to predators or vice versa. This study proposes a virus-controlled prey-predator system with a Crowley–Martin functional response in the prey and an SI-type in the prey. A prey-predator model in which the predator uses both susceptible and sick prey is used to investigate the influence of harvesting parameters on the formation of dynamical fluctuations and stability at the interior equilibrium point. In the analytical section, we outlined the current circumstances for all possible equilibria. The stability of the system has also been explored, and the required conditions for the model’s stability at the equilibrium point have been found. In addition, we give numerical verification for our analytical findings with the help of graphical illustrations.https://www.mdpi.com/2073-8994/13/11/2179prey-predator modeleco-epidemiological modelharvesting factorequilibrium pointsexistence criteriastability analysis |
| spellingShingle | Kawa Hassan Arkan Mustafa Mudhafar Hama An Eco-Epidemiological Model Incorporating Harvesting Factors Symmetry prey-predator model eco-epidemiological model harvesting factor equilibrium points existence criteria stability analysis |
| title | An Eco-Epidemiological Model Incorporating Harvesting Factors |
| title_full | An Eco-Epidemiological Model Incorporating Harvesting Factors |
| title_fullStr | An Eco-Epidemiological Model Incorporating Harvesting Factors |
| title_full_unstemmed | An Eco-Epidemiological Model Incorporating Harvesting Factors |
| title_short | An Eco-Epidemiological Model Incorporating Harvesting Factors |
| title_sort | eco epidemiological model incorporating harvesting factors |
| topic | prey-predator model eco-epidemiological model harvesting factor equilibrium points existence criteria stability analysis |
| url | https://www.mdpi.com/2073-8994/13/11/2179 |
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