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.