Article

Convergence of Trajectories of a Non-Volterra Quadratic Stochastic Operator

B. J. MamurovBukhara State University, 200118, Bukhara, Republic of Uzbekistan

Russian Mathematicsjournal2024en

ABI

Abstract

In the present paper we consider non-Volterra quadratic stochastic operators defined on the two-dimensional simplex depending on a parameter $$\alpha $$ . We showed that such an operator has a unique fixed point and all trajectories converge to the unique fixed point.

Topics

Matrix Theory and Algorithms Advanced Topics in Algebra Nonlinear Differential Equations Analysis

Identifiers

DOI: 10.3103/s1066369x24700786

Citations and references

Cited by 012 references

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