3 papers
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.DS2021
An application of discrete-time SEIR model to the COVID-19 spread
U. A. Rozikov, S. K. Shoyimardonov
The Susceptible-Exposed-Infectious-Recovered (SEIR) model is applied in several countries to ascertain the spread of the coronavirus disease 2019 (COVID-19). We consider discrete-t…