Dynamical Behavior of a Lotka-Volterra Competitive System from River Ecology

Abstract

This work is devoted to the study of a two-species competition model in advective homogenous environment from the river ecology. We assume that two species live in a special river where the upstream end has free-flow boundary conditions. This means that the upstream end is linked to a lake. On the other hand, at the downstream end the population may be exposed to differing magnitudes of individuals loss. We mainly study the influence of inter-specific competition intensities on the competition outcome and show that the contest is very complex -viz. either one of competitors becomes a single winner (exclusion), or both populations coexist, or both species go to extinction.

Dynamics of a competition system with lethal boundary conditions in advective environments

“…L is the size of the habitat, and in the sequel, we call x = 0 the upstream end and x = L the downstream end. Recently, several authors have systematically studied system (2); see, e.g., [14,16,21,26,28] for the spatially homogeneous case and [11,13,15,25,29] for the spatially inhomogeneous case.…”