U. A. Rozikov

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math.DS2024

Stability analysis of a three-dimensional system of Topp model with diabetes

Z. S. Boxonov, U. A. Rozikov

Mathematical models of glucose, insulin, and pancreatic $β$ -cell mass dynamics are essential for understanding the physiological basis of type 2 diabetes. This paper investigates t…

math.DS2024

Dynamical systems of an infinite-dimensional non-linear operator

U. R. Olimov, U. A. Rozikov

We investigate discrete-time dynamical systems generated by an infinite-dimensional non-linear operator that maps the Banach space $l_{1}$ to itself. It is demonstrated that this ope…