Modeling Competition between Populations with Multi-Taxis

Abstract

We study a mathematical model of competition between two populations described by a system of nonlinear differential reaction–diffusion–advection equations. The taxis is introduced to model the heterogeneity of the total resource and the nonuniform distribution of both species. We analyze the role of the 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.