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math.DS2021
Bistability in a one-dimensional model of a two-predators-one-prey population dynamics system
Sergey Kryzhevich, Viktor Avrutin, Gunnar Söderbacka
In this paper, we study the classical two-predators-one-prey model. The classical model described by a system of 3 ordinary differential equations can be reduced to a one-dimension…
math.DS2021
Dynamics of Systems with a Discontinuous Hysteresis Operator and Interval Translation Maps
Sergey Kryzhevich, Viktor Avrutin, Nikita Begun +2
We studied topological and metric properties of the so-called interval translation maps (ITMs). For these maps, we introduced the maximal invariant measure and study its properties…