Positive solution branches of two-species competition model in open advective environments

The effect of competition is an important topic in spatial ecology. This paper deals with a general two-species system open advective and inhomogeneous environments. At first, the critical values on interspecific coefficients are established, which determine stability semi-trivial steady states. Secondly, by analyzing nonexistence coexistence states using theory monotone dynamical system, we find that competitive exclusion principle holds if one large other certain range. Thirdly, terms these values, structure direction bifurcating branches positive equilibria arising from two given means bifurcation analysis. Finally, show multiple occurs under regimes.