Dynamics Analysis of a Predator–Prey Model with Hunting Cooperative and Nonlinear Stochastic Disturbance

This paper proposes a stochastic predator–prey model with hunting cooperation and nonlinear disturbance, focuses on the effects of white noise populations. First, we present thresholds R1 R2 for extinction persistence in mean predator. When is less than 0, predator population extinct; when greater persistent mean. Moreover, by establishing suitable Lyapunov functions, investigate threshold R0 existence unique ergodic stationary distribution. At last, carry out numerical simulations. The results show that harmful to populations beneficial population.