In this paper, we perform sensitivity analysis to a stochastic two-prey one-predator model and investigate the stationary probability distributions of its population densities. The semi-relative and logarithmic sensitivity functions are utilized to evaluate the effects of system parameters on the population of each species, and to conduct the uncertainty quantification of the model. By numerically solving the Fokker–Planck–Kolmogorov (FPK) equation of the stochastic predator–prey model, we acquire the influence mechanism of various system parameters on population densities under environmental disturbances. In addition, we discuss the nonessential parameters in the system, which can be weakened or modified to simplify the model. Finally, the consistency of the numerical solutions and the Monte Carlo simulation results shows that the stochastic response solutions of the three-species system based on the splitting method and the chasing method are reliable.

在本文中，我们对一个随机的两食饵一捕食者模型进行了敏感性分析，并研究了其种群密度的平稳概率分布。使用半相对和对数敏感性函数来评估系统参数对每个物种种群的影响，并进行模型的不确定性量化。通过数值求解随机捕食者－猎物模型的Fokker-Planck-Kolmogorov（FPK）方程，我们获得了环境扰动下各种系统参数对人口密度的影响机制。此外，我们讨论了系统中的非必要参数，可以对其进行削弱或修改以简化模型。最后，