In this paper, we study a stochastic chemostat model with Beddington–DeAngelis functional response. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of a unique ergodic stationary distribution to the model. The existence of a stationary distribution implies stochastic weak stability.

中文翻译：

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具有Beddington-DeAngelis功能性反应的随机化石模型的平稳分布

在本文中，我们研究了具有Beddington-DeAngelis功能反应的随机化石模型。通过构造合适的随机Lyapunov函数，我们为模型的唯一遍历平稳分布的存在建立了充分的条件。平稳分布的存在意味着随机的弱稳定性。