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A prey-predator model with three interacting species
by Isabell Vorkastner, Uygun Jamilov, Michael Scheutzow
Year:
2023
Publication:
Dynamical Systems
Abstract:
In this paper we consider a class of discrete time prey-predator models with three interacting species defined on the two-dimensional simplex. For some choices of parameters of the operator describing the evolution of the relative frequencies, we show that the ergodic hypothesis does not hold.