On Construction and a Class of Non-Volterra Cubic Stochastic Operators
نویسنده
چکیده
We give a construction of a cubic stochastic operator (CSO) on a finite dimensional simplex. This construction depends on a probability measure μ which is given on a fixed finite graph G. Using the construction of CSO for μ defined as product of measures given on components of G a wide class of non-Volterra CSOs is described. It is shown that the non-Volterra operators can be reduced to N number (where N is the number of components) of Volterra CSOs defined on the components. By such a reduction we describe behavior of trajectories of a non-Volterra CSO defined on the three dimensional simplex.
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