Publications
Article · Učenye zapiski Kazanskogo gosudarstvennogo universiteta. Seriâ Fiziko-matematičeskie nauki/Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki · July 3, 2026
Dynamics of a non-Volterra cubic stochastic operator on the two-dimensional simplex
A. Yu. Khamrayev, J.N. Jumayev, Asliddin Z. Norov, Z.S. Boxonov
Abstract
The dynamics of a non-Volterra cubic stochastic operator on the two-dimensional simplex are analyzed. All of its fixed points and 2-periodic orbits are identified. It is shown that, depending on the initial state, the trajectories either converge to a unique 2-periodic cycle or stay near a repelling equilibrium. The effectiveness of the theoretical findings is illustrated through numerical examples.
Mathematical Dynamics and FractalsMathematical and Theoretical Epidemiology and Ecology ModelsAdvanced Differential Equations and Dynamical Systemsfixed pointstrajectory convergenceMarkov operators
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