CONVEX COMBINATIONS OF QUADRATIC STOCHASTIC OPERATORS
Abstract
This chapter is dedicated to the theoretical investigation of convex combinations of quadratic stochastic operators (QSOs). It analyzes the mathematical construction, fundamental properties, and dynamic behavior of these convex combinations of QSOs. Specifically, the fixed points (equilibrium points) and stability issues of the combined operators are thoroughly examined. An analysis of existing literature evaluates the potential application of the convex combination concept to QSO theory. The obtained results propose novel approaches for modeling evolutionary processes and define directions for future research.
Keywords
Quadratic stochastic operators, Convex combination, Dynamical systems, Fixed points, Stability, Functional analysis, Evolutionary models
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