PUBLISHED PAPERS #04.16
| Akhror Khamraev, Jakhongir Jumayev. Dynamical System of a Cubic Stochastic Operator with one Discontinuity Points |
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| Abstract. In this paper we consider a population consisting of two species, dynamics of which is defined by a cubic stochastic operator with variable coefficients, making it discontinuous operator at one points. This operator depends on two parameters. It is shown that under suitable conditions on the parameters this operator may have fixed points, convergence of trajectories. |
| Keywords: dynamical systems, simplex, fixed point, cubic stochastic operator, trajectory |
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| DOI: https://doi.org/10.30546/MaCoSEP2025.1465 |