Nonlinear Phenomena in Complex Systems, 2025, Vol.28, No.3, pp.289

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2025, Vol.28, No.3, pp.289 - 297

Multiattractors in a Several-Predators-One-Prey System

Sergey Kryzhevich and Gunnar Söderbacka

We give a review of results, mostly latest, on a several-predators-one-prey system, giving conditions for the extinction of one predator and for different types of coexistence of the predators. We mainly consider the case of two predators and the problem of multistability. We pay a lot of attention to the case when a one-dimensional discrete model is giving a good approximation to the behaviour. In this case, we have no more than two attractors. We note that this one-dimensional model also has applications in other fields. We also give a short review of the case when the one-dimensional model is not working, giving more attractors and leaving a lot of interesting unsolved problems related to bifurcations that arise.

Key words: predator-prey,population dynamics, period bubbling, shrimp structures, EOS maps, period doubling bifurcations, multistability

DOI: https://doi.org/10.5281/zenodo.17236371

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