This work is concerned with a novel stochastic competitive model with saturation effect and distributed delay, in which two coupling noise sources are incorporated and the interspecific competition delayed terms show saturation effect. A good understanding of exponential extinction, extinction, persistence in the mean and permanence in time average of two species are gained. Also, with the help of Lyapunov function and the global attraction of positive solution, we derive the existence and uniqueness of stationary distribution. Our main results reveal that the coupling noise sources can significantly change the survival results of two species and affect the existence of a unique stationary distribution.

这项工作涉及一种具有饱和效应和分布延迟的新型随机竞争模型，该模型包含两个耦合噪声源，种间竞争延迟项显示出饱和效应。很好地了解了两种物种的指数灭绝，灭绝，均值持续性和时间平均持续性。同样，借助李雅普诺夫函数和正解的全局吸引，我们推导了平稳分布的存在性和唯一性。我们的主要结果表明，耦合噪声源可以显着改变两个物种的生存结果，并影响唯一平稳分布的存在。