Dynamical system of a quadratic stochastic operator with two discontinuity points

2021/03/27 by Sh. B. Abdurakhimova, Abdurakhimova, Sh. B., U. A. Rozikov +1
Mathematics · #37C25 #37E05 #Dynamical Systems (math.DS) #FOS: Mathematics #Random Matrices and Applications #Spectral Theory in Mathematical Physics #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2103.14834

openalex publication_date 2021/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

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