In this paper, we consider a Lotka–Volterra food chain chemostat model that incorporates both distributed delay and stochastic perturbations. We obtain sufficient conditions for the existence of stationary distribution by constructing suitable Lyapunov functions. Stationary distribution indicates the two species in the chemostat can coexist in the long term.

中文翻译：

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具有分布式延迟和随机扰动的恒化器模型的平稳分布

在本文中，我们考虑了一个包含分布式延迟和随机扰动的 Lotka-Volterra 食物链恒化器模型。通过构造合适的李雅普诺夫函数，我们获得了平稳分布存在的充分条件。平稳分布表明恒化器中的两个物种可以长期共存。