建立了非线性随机动力模型—带噪声的能源Logistic反馈控制模型,应用随机平均法对随机动力模型进行了简化,得到了一个二维的扩散过程.二维过程满足Ito型随机微分方程,应用不变测度理论研究了该模型的随机分岔.最后,给出了数值实验验证了相应的结论. A non-linear stochastic dynamic model-energy Logistic feedback control model with noises is established, stochastic dynamical model is simplified by stochastic average method, and a two-dimensional diffusion process is obtained. Two-dimensional process satisfies Ito stochastic differential equations, The variable bifurcation theory is used to study the random bifurcation of this model.Finally, numerical experiments are given to verify the corresponding conclusions.