Research of the population dynamic model "three competitors – three migration areas"

The paper is devoted to a computer research of the population dynamic model "three competitors – three migration areas". The construction of this model is based on the transition from the finite–dimensional population model "$k$ competitors – $k$ migration areas", where $k=n/2$, $n$ is the dimension of the model, $n\geq 4$. The model "three competitors – three migration areas" takes into account interspecific competition in three populations in pairs, bidirectional uneven migration of all populations taking into account three shelters. By means of differential evolution, sets of parameters satisfying the selected optimality criteria are found. For the studied six-dimensional population-migration model, graphs of population densities are constructed for the obtained sets of parameters. Computer experiments made it possible to find out the change in the nature of the trajectories of population densities. The interpretation of the conducted computational experiments is given and a comparative analysis of the results obtained using two optimality criteria is given. The results obtained can be used in the problems of mathematical modeling of multidimensional ecological and socio-economic systems.