O.V. Druzhinina1, I.I. Vasilyeva2, O.N. Masina3

1 FRC «Computer Science and Control» of Russian Academy of Sciences (Moscow, Russia)

1-3 Bunin Yelets State University (Yelets, Russia)

1 ovdruzh@ipiran.ru; 2 irinavsl@yandex.ru; 3 olga121@inbox.ru

Solving the problems of a formalized description of population-migration systems, as well as the development of methodological and instrumental support for their study are relevant areas of research. The essential aspects of studying such models are the search for parameters that ensure the coexistence of species, the analysis of stationary regimes, and the clarification of the nature of trajectories. The aim of the work is to design population dynamic models of the type "three competitors – three migration areas" and to analyze the main stages of computer research of this type of models. A description of the basic dynamic model "three competitors – three migration areas" is presented, taking into account competitive interactions and bidirectional migration flows relative to three shelters. A number of modifications of the basic nonlinear model are considered. For this type of models, the stages of computer research involving methods of optimization theory and numerical analysis based on differential evolution are proposed. The content of computer experiments is described, examples of the results of the search for optimal parameters are given. The results can be used in solving nonlinear dynamics problems related to modeling environmental, physical and chemical processes, as well as optimization and computational intelligence problems.

Druzhinina O.V., Vasilyeva I.I., Masina O.N. Design of population dynamic models of the “three competitors – three migration areas” type. Nonlinear World. 2023. V. 21. № 4. P. 33-38. DOI: https://doi.org/10.18127/j20700970-202304-04 (In Russian)

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