The Effects of Harvesting on the Dynamics of a Leslie–Gower Model
In this paper, we study a Leslie–Gower predator-prey model with harvesting effects. We carry out local bifurcation analysis and stability analysis. Under certain conditions, the model is shown to undergo a supercritical Hopf bifurcation resulting in a stable limit cycle. Numerical simulations are pr...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/5520758 |
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| _version_ | 1832550901153267712 |
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| author | Jingli Xie Hanyan Liu Danfeng Luo |
| author_facet | Jingli Xie Hanyan Liu Danfeng Luo |
| author_sort | Jingli Xie |
| collection | DOAJ |
| description | In this paper, we study a Leslie–Gower predator-prey model with harvesting effects. We carry out local bifurcation analysis and stability analysis. Under certain conditions, the model is shown to undergo a supercritical Hopf bifurcation resulting in a stable limit cycle. Numerical simulations are presented to illustrate our theoretic results. |
| format | Article |
| id | doaj-art-4b2a919552c84b7b85263971334902b5 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4b2a919552c84b7b85263971334902b52025-02-03T06:05:26ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2021-01-01202110.1155/2021/55207585520758The Effects of Harvesting on the Dynamics of a Leslie–Gower ModelJingli Xie0Hanyan Liu1Danfeng Luo2College of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan, ChinaCollege of Mathematics and Statistics, Jishou University, Jishou 416000, Hunan, ChinaDepartment of Mathematics, Guizhou University, Guiyang 550025, Guizhou, ChinaIn this paper, we study a Leslie–Gower predator-prey model with harvesting effects. We carry out local bifurcation analysis and stability analysis. Under certain conditions, the model is shown to undergo a supercritical Hopf bifurcation resulting in a stable limit cycle. Numerical simulations are presented to illustrate our theoretic results.http://dx.doi.org/10.1155/2021/5520758 |
| spellingShingle | Jingli Xie Hanyan Liu Danfeng Luo The Effects of Harvesting on the Dynamics of a Leslie–Gower Model Discrete Dynamics in Nature and Society |
| title | The Effects of Harvesting on the Dynamics of a Leslie–Gower Model |
| title_full | The Effects of Harvesting on the Dynamics of a Leslie–Gower Model |
| title_fullStr | The Effects of Harvesting on the Dynamics of a Leslie–Gower Model |
| title_full_unstemmed | The Effects of Harvesting on the Dynamics of a Leslie–Gower Model |
| title_short | The Effects of Harvesting on the Dynamics of a Leslie–Gower Model |
| title_sort | effects of harvesting on the dynamics of a leslie gower model |
| url | http://dx.doi.org/10.1155/2021/5520758 |
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