Bifurcation analysis of a Leslie–Gower predator–prey system with fear effect and constant-type harvesting
This paper investigates the effect of fear effect and constant-type harvesting on the dynamic of a Leslie–Gower predator–prey model. Initially, an analysis is carried out to identify all potential equilibria and evaluate their stability. Furthermore, the dynamic behavior at these points is examined...
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2025-03-01
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| Series: | Nonlinear Analysis |
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| Online Access: | https://www.journals.vu.lt/nonlinear-analysis/article/view/38981 |
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| _version_ | 1850217868868714496 |
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| author | Chenyang Huangfu Zhong Li |
| author_facet | Chenyang Huangfu Zhong Li |
| author_sort | Chenyang Huangfu |
| collection | DOAJ |
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This paper investigates the effect of fear effect and constant-type harvesting on the dynamic of a Leslie–Gower predator–prey model. Initially, an analysis is carried out to identify all potential equilibria and evaluate their stability. Furthermore, the dynamic behavior at these points is examined, revealing various bifurcations such as saddle-node bifurcation, Hopf bifurcation, and Bogdanov-Takens bifurcation. In particular, the model undergoes a degenerate Hopf bifurcation, which leads to the existence of two limit cycles. Additionally, we demonstrate that the Bogdanov–Takens bifurcation of codimension 2 occurs in this model. Ultimately, these findings are validated through numerical simulations, demonstrating that continuous harvesting or the significant fear effect is not conducive to either predator or prey surviving.
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| format | Article |
| id | doaj-art-2fdb6cbfd7ae4f0d9bff9caf50acb25d |
| institution | OA Journals |
| issn | 1392-5113 2335-8963 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj-art-2fdb6cbfd7ae4f0d9bff9caf50acb25d2025-08-20T02:07:57ZengVilnius University PressNonlinear Analysis1392-51132335-89632025-03-013010.15388/namc.2025.30.38981Bifurcation analysis of a Leslie–Gower predator–prey system with fear effect and constant-type harvestingChenyang Huangfu0Zhong Li1https://orcid.org/0000-0001-5543-7072Fuzhou UniversityFuzhou University This paper investigates the effect of fear effect and constant-type harvesting on the dynamic of a Leslie–Gower predator–prey model. Initially, an analysis is carried out to identify all potential equilibria and evaluate their stability. Furthermore, the dynamic behavior at these points is examined, revealing various bifurcations such as saddle-node bifurcation, Hopf bifurcation, and Bogdanov-Takens bifurcation. In particular, the model undergoes a degenerate Hopf bifurcation, which leads to the existence of two limit cycles. Additionally, we demonstrate that the Bogdanov–Takens bifurcation of codimension 2 occurs in this model. Ultimately, these findings are validated through numerical simulations, demonstrating that continuous harvesting or the significant fear effect is not conducive to either predator or prey surviving. https://www.journals.vu.lt/nonlinear-analysis/article/view/38981predator–preyfear effectharvestingbifurcation |
| spellingShingle | Chenyang Huangfu Zhong Li Bifurcation analysis of a Leslie–Gower predator–prey system with fear effect and constant-type harvesting Nonlinear Analysis predator–prey fear effect harvesting bifurcation |
| title | Bifurcation analysis of a Leslie–Gower predator–prey system with fear effect and constant-type harvesting |
| title_full | Bifurcation analysis of a Leslie–Gower predator–prey system with fear effect and constant-type harvesting |
| title_fullStr | Bifurcation analysis of a Leslie–Gower predator–prey system with fear effect and constant-type harvesting |
| title_full_unstemmed | Bifurcation analysis of a Leslie–Gower predator–prey system with fear effect and constant-type harvesting |
| title_short | Bifurcation analysis of a Leslie–Gower predator–prey system with fear effect and constant-type harvesting |
| title_sort | bifurcation analysis of a leslie gower predator prey system with fear effect and constant type harvesting |
| topic | predator–prey fear effect harvesting bifurcation |
| url | https://www.journals.vu.lt/nonlinear-analysis/article/view/38981 |
| work_keys_str_mv | AT chenyanghuangfu bifurcationanalysisofalesliegowerpredatorpreysystemwithfeareffectandconstanttypeharvesting AT zhongli bifurcationanalysisofalesliegowerpredatorpreysystemwithfeareffectandconstanttypeharvesting |