摘要
This paper mainly investigates the application of predator-prey systems.By deriving the first-order principles of the stochastic partial differential equa-tions,we analyzed the stability of the model at the equilibrium point.The co-efficients of the outgoing amplitude equation were deduced using the Wake-field nonlinear analysis.The model was numerically simulated by setting pa-rameters using the nine-point difference method,and the simulation results are in agreement with the numerical results.In addition,a marine predator-prey model combining the fear effect and refuge environment is proposed in this paper,and the pattern formation mechanism of species coexistence is re-vealed through theoretical analysis and numerical simulation.
