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

中文翻译：

---

开放对流环境中两种种群竞争模型的正解分支

竞争的影响是空间生态学中的重要课题。本文讨论了在开放对流和非均质环境中的一般的两种种群竞争系统。首先，确定种间竞争系数的临界值，该临界值决定了半平凡稳态的稳定性。其次，通过分析共存稳态的不存在性，并利用单调动力系统理论，发现当种间竞争系数之一较大而另一个在一定范围内时，竞争排斥原理成立。第三，根据这些临界值，通过分岔理论和稳定性分析，给出了由两个半平凡稳态引起的正平衡的分叉分支的结构和方向。最后，