6 papers
Ideals in Arbitrary Three-Dimensional Algebras
M. V. Velasco, U. A. Rozikov, B. A. Narkuziev
In this paper, we study arbitrary (not necessarily associative) 3-dimensional algebras. Such an algebra A is determined by a basis and the corresponding multiplication table, which…
Non-Linear Generalization of the DLR Equations: -Specifications and -Equilibrium Measures
F. H. Haydarov, B. A. Omirov, U. A. Rozikov
We introduce a {\it non-linear} generalization of the classical Dobrushin-Lanford-Ruelle (DLR) framework by developing the concept of a -specification and the associated -equ…
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.…
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…
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…
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…