Dynamics of a non-Volterra cubic stochastic operator on the two-dimensional simplex
A. Yu. KhamrayevKarshi State UniversityJ. N. JumayevKarshi State UniversityA. Z. NorovKarshi State UniversityZ.S. BoxonovV.I. Romanovsky Institute of Mathematics, Uzbekistan Academy of Sciences
2026ru
Ochiq kirishOlmos
Litsenziya: cc-by
ABI
Annotatsiya
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.
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