Global phase portraits of a predator-prey system
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866915119419621376 |
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| author | Diz-Pita, Érika Llibre, Jaume Otero-Espinar, M. V. |
| author_facet | Diz-Pita, Érika Llibre, Jaume Otero-Espinar, M. V. |
| contents | We classify the global dynamics of a family of Kolmogorov systems depending on three parameters which has ecological meaning as it modelizes a predator-prey system. We obtain all their topologically distinct global phase portraits in the positive quadrant of the Poincaré disc, so we provide all the possible distinct dynamics of these systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_13728 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Global phase portraits of a predator-prey system Diz-Pita, Érika Llibre, Jaume Otero-Espinar, M. V. Dynamical Systems We classify the global dynamics of a family of Kolmogorov systems depending on three parameters which has ecological meaning as it modelizes a predator-prey system. We obtain all their topologically distinct global phase portraits in the positive quadrant of the Poincaré disc, so we provide all the possible distinct dynamics of these systems. |
| title | Global phase portraits of a predator-prey system |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2501.13728 |