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arXiv:2103.14834 [math.DS]AbstractReferencesReviewsResources

Dynamical system of a quadratic stochastic operator with two discontinuity points

Sh. B. Abdurakhimova, U. A. Rozikov

Published 2021-03-27Version 1

In this paper we consider a population consisting of two species, dynamics of which is defined by a quadratic stochastic operator with variable coefficients, making it discontinuous operator at two points. This operator depends on three parameters. It is shown that under suitable conditions on the parameters this operator may have fixed points, convergence of trajectories and there may exist periodic points.

Comments: 10 pages, 1 figure
Categories: math.DS
Subjects: 37C25, 37E05
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