In this paper, we propose a stochastic predator–prey model with hunting cooperation and nonlinear perturbation of white noise. The sufficient criteria for the existence of a unique ergodic stationary distribution are established by constructing suitable Lyapunov functions. It reveals that the white noise has a significant impact on the dynamical behavior of the model.

中文翻译：

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具有狩猎合作的随机捕食者-猎物模型的平稳分布

在本文中，我们提出了一种具有狩猎合作和白噪声非线性扰动的随机捕食者-猎物模型。通过构造合适的李雅普诺夫函数，建立了存在唯一遍历平稳分布的充分标准。它表明白噪声对模型的动力学行为有显着影响。