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math.DS2024
A many-loci system with evolution characterized by uncountable linear operators
B. A. Omirov, U. A. Rozikov
This paper investigates the evolution of a multi-locus biological system. The evolution of such a system is described by a quadratic stochastic operator (QSO) defined on a simplex.…
math.DS2024
Discrete-Time Dynamical Systems Generated by a Quadratic Operator
S. K. Shoyimardonov, U. A. Rozikov
In this paper, we examine a specific class of quadratic operators. For these operators, we identified all fixed points and categorized their types in the general case. Our analysis…
math.DS2024
Discrete dynamics of phytoplankton-zooplankton systems with Holling type functional responses
S. K. Shoyimardonov, U. A. Rozikov
In this paper, we study discrete dynamics of phytoplankton-zooplankton system with Holling type II and Holling type III predator functional responses. The stability of positive fix…