Regular dynamics in a quadratic model

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 and study their trajectory behaviors. We showed that in the case depending on the parameter and an initial point, the trajectories of such operator converge to a fixed point. For , any trajectory of the operator converges to the center of the simplex.

Topics

Identifiers

DOI

10.1002/mma.10153

Citations and references