Abstract: This paper studies the application of stochastic discrete models to a class of economic model. By constructing Lyapunov function, the sufficient condition for the asymptotic mean square stability of the model at equilibrium point is obtained. The result is verified by numerical simulation.#@#@#摘要: 本文研究随机离散模型在一类经济模型上的应用。通过构造Lyapunov函数,得到模型在平衡点渐近均方稳定的充分条件,所得结果经过数值仿真进行验证。