To explore the relationship between hunting of predator and anti-predation behavior of prey in the natural environment, considering a stochastic predator-prey model with fear effect and hunting cooperation, which is perturbed by the nonlinear white noise. Firstly, the relevant properties of solutions for the model are studied. Then, we present sufficient conditions for extinction, persistence, and stationary distribution. Especially, the density function near positive equilibrium of model without white noise is established. Finally, based on the results of numerical simulation and theoretical analysis, it is revealed that fear effect, hunting cooperation, and white noise have indispensable influence on the dynamical behaviors of this model.

为探索自然环境中捕食者捕猎与猎物反捕食行为之间的关系，考虑具有恐惧效应和狩猎合作的随机捕食者-猎物模型，该模型受到非线性白噪声的扰动。首先，研究了模型解的相关性质。然后，我们提出了灭绝、持久性和平稳分布的充分条件。特别地，建立了无白噪声模型接近正平衡的密度函数。最后，基于数值模拟和理论分析的结果，揭示了恐惧效应、狩猎合作和白噪声对该模型的动力学行为具有不可或缺的影响。