Computer modeling of population dynamics system taking into account the migration parameters variation

The paper is devoted to the design and analysis of a four-dimensional population model “two competitors - two areas of migration”. This model takes into account interspecific competition in two populations, bidirectional migration of both populations, and changes in migration rates both in the shelter and from the shelter to the main area. The variation of migration rates is carried out at constant reproduction rates of species. For the proposed population-migration model, qualitative behavior is studied, projections of phase portraits and graphs of population density dynamics are constructed for various sets of parameters. An interpretation of the performed computational experiments is given, taking into account the assessment of the influence of migration parameters on the behavior of the system. The conducted computer experiments for the model “two competitors - two areas of migration” with different sets of parameters made it possible to find out the nature of the trajectories of population densities depending on the variation of all migration parameters. A software package developed in Python using the numpy, sympy, sсipy libraries is used as a tool for studying models. The obtained results can be used in modeling ecological, economic, physical and chemical processes.