I.I. Vasilyeva1, O.V. Druzhinina2, O.N. Masina3

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

2 FRС «Computer Science and Control» of RAS (Moscow, Russia)

The analysis and synthesis of multidimensional dynamic population models belonging to the type "two competitors – two migration areas" are relevant problems. Important aspects of the study of such models are to clarify the nature of the trajectories, the transition to a stationary mode and the identification of new qualitative effects.

The purpose of this article is to construct and study a four-dimensional nonlinear population model with migration flows taking into account competition, to find out the influence of variability of coefficients of natural reproduction of species on the behavior of the system.

The population model "two competitors – two migration areas" is synthesized. The modeling of the processes of interaction of species in the conditions of competition and migration flows is carried out. A series of computer experiments are performed, projections of phase portraits are constructed, qualitative effects are identified and a comparative analysis of the results obtained for such a modification of the model "two competitors – two migration areas", which is associated with the variability of the coefficients of natural reproduction of species.

The results can be used in solving nonlinear dynamics problems related to modeling environmental, physical and chemical processes.

Vasilyeva I.I., Druzhinina O.V., Masina O.N. Design and research of population dynamic model "two competitors – two migration areas". Nonlinear World. 2022. V. 20. № 4. 2022. P. 60-68. DOI: https://doi.org/10.18127/j20700970-202204-06 (In Russian)

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