Modeling of competition between populations with multi-taxis

We study a mathematical model of competition between two populations, which is described by a system of nonlinear differential equations of reaction-diffusion-advection. The taxis is introduced to model the heterogeneity of the total resource and the non-uniform distribution of both types. We analyze the role of taxis in the area occupancy. The maps of migration parameters corresponding to various variants of competitive exclusion and coexistence of species are calculated. Using the theory of cosymmetry, we find parametric relations under which multistability arises. In a computational experiment, population scenarios with a violation of cosymmetry were studied.