A geometric analysis of the Bazykin-Berezovskaya predator-prey model with Allee effect in an economic framework
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866917066129276928 |
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| author | Borsotti, Jacopo Sensi, Mattia |
| author_facet | Borsotti, Jacopo Sensi, Mattia |
| contents | We study a fast-slow version of the Bazykin-Berezovskaya predator-prey model with Allee effect evolving on two timescales, through the lenses of Geometric Singular Perturbation Theory (GSPT). The system we consider is in non-standard form. We completely characterize its dynamics, providing explicit threshold quantities to distinguish between a rich variety of possible asymptotic behaviors. Moreover, we propose numerical results to illustrate our findings. Lastly, we comment on the real-world interpretation of these results, in an economic framework and in the context of predator-prey models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_10355 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A geometric analysis of the Bazykin-Berezovskaya predator-prey model with Allee effect in an economic framework Borsotti, Jacopo Sensi, Mattia Dynamical Systems Populations and Evolution We study a fast-slow version of the Bazykin-Berezovskaya predator-prey model with Allee effect evolving on two timescales, through the lenses of Geometric Singular Perturbation Theory (GSPT). The system we consider is in non-standard form. We completely characterize its dynamics, providing explicit threshold quantities to distinguish between a rich variety of possible asymptotic behaviors. Moreover, we propose numerical results to illustrate our findings. Lastly, we comment on the real-world interpretation of these results, in an economic framework and in the context of predator-prey models. |
| title | A geometric analysis of the Bazykin-Berezovskaya predator-prey model with Allee effect in an economic framework |
| topic | Dynamical Systems Populations and Evolution |
| url | https://arxiv.org/abs/2504.10355 |