M. Tryputen

Work place: Dept. of Calculating Mathematics and Mathematical Cybernetics, Oles Honchar Dnipro National University, Dnipro, Ukraine

E-mail: kuzenkov1986@gmail.com

Website: https://orcid.org/0000-0002-6378-7993

Research Interests:

Biography

Dr. M. Tryputen was born in Dniepropetrovsk, Ukraine. He completed his higher education at the Dnepropetrovsk Mining Institute (now Dnipro University of Technology, National Technical University “Dnipro Polytechnic”), Dnipro, Ukraine. In 1980, he graduated with a degree in Automation and Telemechanics and obtained the qualification of electrical engineer. In 1988, he obtained the degree of Candidate of Technical Sciences (Ph.D. equivalent) in specialty 05.13.07 – Automation of Technological Processes and Production (Industry). His dissertation, titled “Development of automated crusher operating modes for a large-piece crushing process control system”, was devoted to improving the efficiency of automated industrial control systems. He has many years of experience in teaching and scientific work in the field of automation and control systems. He is currently affiliated with the Department of Cyberphysical and Information-Measuring Systems at Dnipro University of Technology, where he is actively engaged in academic, methodological, and research activities. He contributes to the development of modern educational programs and supervises student and postgraduate research in the areas of automation, electromechanics, and intelligent control systems. He is the author and co-author of numerous scientific and methodological publications devoted to automation of technological processes, control theory, and modeling of complex systems. His works reflect both theoretical developments and practical applications in industrial automation. His research interests include automatic control theory, modeling and optimization of technological processes, adaptive and optimal control systems, development of performance criteria for automation systems, industrial process automation, and application of modern computational methods in control engineering.

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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