In this paper, a three-species food web stochastic model with generalist predator is proposed and studied. We obtain sufficient criteria for the existence and uniqueness of an ergodic stationary distribution of positive solutions to the system by establishing a series of suitable Lyapunov functions. In a biological viewpoint, the existence of a stationary distribution implies that all species can coexist in a community.

中文翻译：

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关于通配捕食者的三种种群食物网随机模型的平稳分布的一个注记

提出并研究了具有广义捕食者的三种种群食物网络随机模型。通过建立一系列合适的Lyapunov函数，我们获得了正解对系统的遍历平稳分布的存在和唯一性的充分标准。从生物学的角度来看，平稳分布的存在意味着所有物种都可以在一个社区中共存。