Resumen de On a Family of Non-Volterra Quadratic Operators Acting on a Simplex

Uygun Jamilov, Manuel Ladra González

• 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 behaviours. 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.