On a family of non-Volterra quadratic operators acting on a simplex
Abstract
In the present paper, we consider a convex combination of non-Volterra quadratic stochastic operators defined on a finite-dimensional simplex depending on a parameter α and study their trajectory behaviors. We showed that for any α∈ [0,1) the trajectories of such operator converge to a fixed point. For α=1 any trajectory of the operator converges to a periodic trajectory.
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