V. Kuznetsov

Work place: Dept. of Electrical Engineering, Ukrainian State University of Science and Technologies, Dnipro, Ukraine

E-mail: witjane20002014@gmail.com

Website: https://orcid.org/0000-0002-8169-4598

Research Interests:

Biography

Dr. V. Kuznetsov was born in Dniepropetrovsk, Ukraine, 1975. He received the B.S. degree in electromechanics from the Dnipropetrovsk Institute of Railway Transport (DIIT) in 1997, specializing in electric drive and automation of industrial installations and technological complexes, qualifying as an electrical engineer. He obtained the Ph.D. degree in technical sciences (electrical engineering field). He currently holds the academic title of associate professor. He is currently an Associate Professor at the Department of Electrical Engineering of the Ukrainian State University of Science and Technologies (formerly National Metallurgical Academy of Ukraine, NMetAU). He is also involved in educational program development and serves as a guarantor or member of academic program groups in the field of electrical engineering. He is the author and co-author of more than 80 scientific publications, including journal articles and conference papers indexed in international scientometric databases such as Scopus. His research work is widely focused on modern problems of electrical engineering and energy systems. His research interests include electric power engineering, electromechanics, modeling and control of induction motors, analysis of electric drive systems under conditions of poor power quality, integration of renewable energy sources, and optimization of energy conversion processes.

Author Articles
Mathematical Model of Subpopulation Dynamics in Case of Different Niches for Subpopulations

By O. Kuzenkov M. Tryputen V. Kuznetsov O. Huliesha V. Artemchuk

DOI: https://doi.org/10.5815/ijem.2026.03.09, Pub. Date: 8 Jun. 2026

The article presents a model of dynamic processes occurring in non-isolated populations that differ in their habitat and mode of nutrition. The results of theoretical studies carried out on the basis of this model show the decisive influence of the ratio of the coefficients of inter-subpopulation competition on qualitative changes in the behavior of the system and individual subpopulations. This ratio is also the main factor influencing the formation of the dominant subpopulation in the system. It has been shown that the system-wide dynamics of subpopulation processes significantly depends on the reproductive potential of all subpopulations and on the mass fraction of individuals that, according to their phenotypic properties, are related to the parents. In this case, the mass fractions of individuals (transition coefficients) must correspond to the condition of closed system and be in specified intervals. It has been established that subpopulations in real life can exchange descendants, which, in turn, can significantly affect the numerical and qualitative aspects of the dynamics. Using the example of a two-dimensional system, the relationship between the sum of the main elements of the transition coefficient matrix and the mutual dependence of subpopulations, as well as their transition to qualitatively different levels, is shown. The bifurcation properties of the model of subpopulation dynamics with a Lotka–Voltaire type function in basic quality have been studied. An approximate justification of possible bifurcations of the system allows us to evaluate the factors that qualitatively influence the dynamics of the system and develop a number of recommendations to prevent the occurrence of catastrophes and collapses in the system.

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