Periodic and Regular Trajectories of Non-Volterra Quadratic Stochastic Operators

Abstract

We consider a five-parameter family of non-Volterra quadratic operators defined on the two-dimensional simplex and study their trajectory behaviours. We showed that for any values of the parameters any quadratic operator from this family has two fixed points. Moreover, for any parameters for such quadratic stochastic operator has the property being ergodic.

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DOI

10.1134/s1995080223100219

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