Global dynamics of a two-species competition model in advective homogeneous environments

We investigate a two-species competition model in advective homogeneous environments. assume that the two species are identical except their diffusion rates and advection rates. It is worth noting Neumann boundary condition assumed at upstream end, meanwhile, there always net loss of individuals incurred by water flow or both diffusive movements downstream end. Our results show when large (incurred movements), adopting slower can be favorable unfavorable depending on gap between When small alone), combination faster weak will persist while movement for to survive