基于比较利益下农业生产模式的模型研究

在连续时间的假设下,研究了农业产出量服从几何布朗运动的最优控制问题。首先借助于马尔可夫过程理论确定出转移概率密度,再利用分布参数系统模型来描述某个地域的粮食和经济作物的产出量在随机变化的情况下,农业生产的分布模型。最后探讨了在均衡条件下农业生产者以寻求利益最大化为目的的最优控制方程。同时给出了某地域粮食及经济作物的产量预测分析模型。参9。

Study about agricultural mode of product base on comparative advantage

Under the assumption continuous-time model, we research the optimal control problem when farm-produce's output follow the geometric Brownian motion. First of all, with the aids of Markov processes theory, we obtain the transition probability density. After this, dynamic distributed models about agricultural produce system were presented using distributed parameter system when farm produces change according to stochastic diffusion processes. In the end , to improve the proceeds of producer maximization, the optimal control tactics was also put forward base on equitable condition. In the meantime, establish forecasting models about farm produce supply. The results can provide scientific evidence for the government to make agricultural produce policy.