Global phase portraits of a predator-prey system
We classify the global dynamics of a family of Kolmogorov systems depend-ing 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...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:259918 |
| Acceso en línea: | https://ddd.uab.cat/record/259918 https://dx.doi.org/urn:doi:10.14232/ejqtde.2022.1.16 |
| Access Level: | acceso abierto |
| Palabra clave: | Predator-prey system Kolmogorov system Global phase portrait Poincaré disc |
| Sumario: | We classify the global dynamics of a family of Kolmogorov systems depend-ing 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. |
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