The Influence of Additive Allee Effect and Periodic Harvesting to the Dynamics of Leslie-Gower Predator-Prey Model
In this paper, the influence of additive Allee effect in prey and periodic harvesting in predator to the dynamics of the Leslie-Gower predator-prey model is proposed. We first simplify the model to the non-dimensional system by scaling the variable and transform the model into an autonomous system....
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Department of Mathematics, Universitas Negeri Gorontalo
2020-03-01
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| Series: | Jambura Journal of Mathematics |
| Subjects: | |
| Online Access: | https://ejurnal.ung.ac.id/index.php/jjom/article/view/4566 |
| _version_ | 1818009733815074816 |
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| author | Hasan S. Panigoro Emli Rahmi Novianita Achmad Sri Lestari Mahmud |
| author_facet | Hasan S. Panigoro Emli Rahmi Novianita Achmad Sri Lestari Mahmud |
| author_sort | Hasan S. Panigoro |
| collection | DOAJ |
| description | In this paper, the influence of additive Allee effect in prey and periodic harvesting in predator to the dynamics of the Leslie-Gower predator-prey model is proposed. We first simplify the model to the non-dimensional system by scaling the variable and transform the model into an autonomous system. If the effect Allee is weak, we have at most two equilibrium points, else if the Allee effect is strong, at most four equilibrium points may exist. Furthermore, the behavior of the system around equilibrium points is investigated. In the end, we give numerical simulations to support theoretical results. |
| first_indexed | 2024-04-14T05:45:37Z |
| format | Article |
| id | doaj.art-4e989c71f04a4b04b75328a7a0d4ae28 |
| institution | Directory Open Access Journal |
| issn | 2654-5616 2656-1344 |
| language | English |
| last_indexed | 2024-04-14T05:45:37Z |
| publishDate | 2020-03-01 |
| publisher | Department of Mathematics, Universitas Negeri Gorontalo |
| record_format | Article |
| series | Jambura Journal of Mathematics |
| spelling | doaj.art-4e989c71f04a4b04b75328a7a0d4ae282022-12-22T02:09:17ZengDepartment of Mathematics, Universitas Negeri GorontaloJambura Journal of Mathematics2654-56162656-13442020-03-0122879610.34312/jjom.v2i2.45662037The Influence of Additive Allee Effect and Periodic Harvesting to the Dynamics of Leslie-Gower Predator-Prey ModelHasan S. Panigoro0Emli Rahmi1Novianita Achmad2Sri Lestari Mahmud3State University of GorontaloState University of GorontaloState University of GorontaloState University of GorontaloIn this paper, the influence of additive Allee effect in prey and periodic harvesting in predator to the dynamics of the Leslie-Gower predator-prey model is proposed. We first simplify the model to the non-dimensional system by scaling the variable and transform the model into an autonomous system. If the effect Allee is weak, we have at most two equilibrium points, else if the Allee effect is strong, at most four equilibrium points may exist. Furthermore, the behavior of the system around equilibrium points is investigated. In the end, we give numerical simulations to support theoretical results.https://ejurnal.ung.ac.id/index.php/jjom/article/view/4566leslie-gowerallee effectperiodic harvestingnon-autonomous |
| spellingShingle | Hasan S. Panigoro Emli Rahmi Novianita Achmad Sri Lestari Mahmud The Influence of Additive Allee Effect and Periodic Harvesting to the Dynamics of Leslie-Gower Predator-Prey Model Jambura Journal of Mathematics leslie-gower allee effect periodic harvesting non-autonomous |
| title | The Influence of Additive Allee Effect and Periodic Harvesting to the Dynamics of Leslie-Gower Predator-Prey Model |
| title_full | The Influence of Additive Allee Effect and Periodic Harvesting to the Dynamics of Leslie-Gower Predator-Prey Model |
| title_fullStr | The Influence of Additive Allee Effect and Periodic Harvesting to the Dynamics of Leslie-Gower Predator-Prey Model |
| title_full_unstemmed | The Influence of Additive Allee Effect and Periodic Harvesting to the Dynamics of Leslie-Gower Predator-Prey Model |
| title_short | The Influence of Additive Allee Effect and Periodic Harvesting to the Dynamics of Leslie-Gower Predator-Prey Model |
| title_sort | influence of additive allee effect and periodic harvesting to the dynamics of leslie gower predator prey model |
| topic | leslie-gower allee effect periodic harvesting non-autonomous |
| url | https://ejurnal.ung.ac.id/index.php/jjom/article/view/4566 |
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