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arXiv · 2501.13728

Global phase portraits of a predator-prey system

Érika Diz-Pita·Jaume Llibre·M. V. Otero-Espinar
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Abstract

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 Poincar\'e disc, so we provide all the possible distinct dynamics of these systems.

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Érika Diz-Pita, Jaume Llibre, M. V. Otero-Espinar. 2025-01-23. Global phase portraits of a predator-prey system. https://doi.org/10.14232/ejqtde.2022.1.16

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