Geodesic
Bernoulli shifts in predator–prey mappings
Teoretičeskaâ i matematičeskaâ fizika, Tome 212 (2022) no. 1, pp. 3-14 Cet article a éte moissonné depuis la source Math-Net.Ru

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Results providing bounds of the nonwandering set of a mapping, hyperbolicity conditions, and the method of anti-integrability shed light on the global behavior of a discrete system. Following recent works, we use this approach to investigate the behavior of predator–prey systems in dimensions $2$ and $3$. Our goal is not only to present results regarding the existence of Bernoulli shifts and hyperbolicity in the phase space but also to emphasize the applicability of this approach in a variety of interesting systems.
Keywords: discrete systems, hyperbolicity, Bernoulli shifts, anti-integrability. 
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S. Anastassiou. Bernoulli shifts in predator–prey mappings. Teoretičeskaâ i matematičeskaâ fizika, Tome 212 (2022) no. 1, pp. 3-14. http://geodesic.mathdoc.fr/item/TMF_2022_212_1_a0/

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