On the dynamics of non-Volterra quadratic operators corresponding to permutations
Uygun JamilovDepartment Algebra and Functional Analysis, National University of Uzbekistan, Tashkent, UzbekistanKh. O. KhudoyberdievV.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistan
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Annotatsiya
The present paper deals to a family of non-Volterra quadratic stochastic operators depending on a parameter and a permutation and their trajectory behaviours. We find all fixed and periodic points for such non-Volterra quadratic stochastic operator on a finite-dimensional simplex. We proved that the ω- limit set of any trajectory of such non-Volterra quadratic stochastic operator consists of either single point or finite points.
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