Global phase portraits of a predator-prey system
arXiv:2501.13728 · doi:10.14232/EJQTDE.2022.1.16
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 Poincaré disc, so we provide all the possible distinct dynamics of these systems.