In a three-species discrete prey-predator model on the simplex, certain parameter regimes cause all interior orbits to converge to the unique fixed point or to vertices while others make every Cesaro mean diverge.
Saburov, A class of nonergodic Lotka-Volterra opera tors, Math
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A prey-predator model with three interacting species
In a three-species discrete prey-predator model on the simplex, certain parameter regimes cause all interior orbits to converge to the unique fixed point or to vertices while others make every Cesaro mean diverge.