activity
20182024
most citedA discrete-time dynamical system of stage-structured wild and sterile mosquito population

3 citations · 6 across the 8 of their papers we have counts for

collaborators

9 papers

math.DS2024

Global Dynamics of a Discrete Mosquito Model with Allee Effect

Z. S. Boxonov

In this paper, we investigate the dynamical behavior of a two-dimensional discrete mosquito model incorporating an Allee effect. We analyze the system's trajectory comprehensively,…

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 -cell mass dynamics are essential for understanding the physiological basis of type 2 diabetes. This paper investigates t…

math.DS2023

Description of trajectories of an evolution operator generated by mosquito population

Z. S. Boxonov

In this paper, we study discrete-time dynamical systems generated by evolution operator of mosquito population. An invariant set is found and a Lyapunov function with respect to th…

math.DS2023★ 1 cited

On dynamical systems of quadratic stochastic operators constructed for bisexual populations

Z. S. Boxonov

For two classes of bisexual populations we give a constructive description of quadratic stochastic operators which act to the Cartesian product of standard simplexes. We consider a…

math.DS2022

A discrete-time dynamical system of mosquito population

Z. S. Boxonov

In this paper, we study a discrete-time dynamical system generated by the evolution operator of a wild mosquito population with specific rates of birth and emergence from larvae to…

math.DS2021★ 1 cited

A discrete-time dynamical system of wild mosquito population with Allee effects

U. A. Rozikov, Z. S. Boxonov

We study a discrete-time dynamical system of wild mosquito population with parameters: - the birth rate of adults; - maximum emergence rate; - the death rate of adult…

math.DS2020★ 1 cited

Dynamical system of a mosquito population with distinct birth-death rates

Z. S. Boxonov, U. A. Rozikov

We study the discrete-time dynamical systems of a model of wild mosquito population with distinct birth (denoted by ) and death (denoted by ) rates. The case was consid…

math.DS2020★ 3 cited

A discrete-time dynamical system of stage-structured wild and sterile mosquito population

Z. S. Boxonov, U. A. Rozikov

We study the discrete-time dynamical systems associated to a stage-structured wild and sterile mosquito population. We describe all fixed points of the evolution operator (which de…

math.DS2018

A dynamical system of temperature-dependent sex linked inheritance

Z. S. Boxonov, U. A. Rozikov

Recently, R.Varro introduced a gonosomal algebra of the temperature-dependent sex determination system which is controlled by three temperature ranges. In this paper we study dynam…