基于分布参数系统的耕地可持续发展问题的建模与优化

Modelling and Optimization for Sustainable Development of Plowland Based on Distributed Parameter System

在连续时间模型的假设条件下,充分研究了农业耕地中有机物含量及微量元素含量的随机变化过程,首先借助于马尔可夫过程理论确定出转移概率密度函数,然后利用扩散随机过程理论及分布参数系统建立模型描述耕地肥力的状况,探讨了在保证耕地质量的前提下以农业生产者投资收益最大化作为目标值的最优控制问题。最后,给出了某时刻农用耕地肥力水平的预测方程。为充分发挥土地的使用价值及农业的可持续发展提供科学的依据。

Under the assumption continuous-time model, we research the problem about the stochastic fluctuate of the content of organic compounds and microelements in the land. The first, we obtain the transition probability density with the aids of Markov processes theory. After this, a dynamic model about fertility of plowland is presented using stochastic diffusion processes and distributed parameter system. To meet the need of proceeds maximum for producer, the optimal control model was also put forward. Finally, forecasting model about thecontent of organic compounds and microelements in the land is established. The results can provide scientific evidence for giving full play to plowland's use value and the sustainable development of agriculture.