On a Lotka-Volterra competition-diffusion-advection system: Homogeneity vs heterogeneity

As we know, interactions between movement and environmental heterogeneity could create very interesting phenomena in population dynamics. In this paper, based on a Lotka-Volterra competition-diffusion-advection system, we try to reveal the combined effect of movement and spatial variations on the outcome of competition. For the purpose of comparison, we suppose that the total resources for two populations are fixed at the same level, but one distribution is even across space while the other one not. Our main results suggest that the contest between heterogeneous and homogeneous distribution is very complex, either one of the two competitors becomes the final single winner (exclusion) or both populations coexist eventually (coexistence), depending closely on the movement rates and the shape of the given resource. (C) 2019 Elsevier Inc. All rights reserved.