森林发展系统的半离散化方法

A semi-discrete algorithm of forest evolution system.

为了充分认识森林的发展变化规律,解释森林发展过程的一些现象,并为制订森林的长期发展规划提供重要依据,近年来国内外学者为森林发展系统进行准确的定量描述及系统理论分析做出了许多贡献。该文建立了非线性森林发展系统的半离散模型,利用Schauder不动点定理证明了对应线性半离散系统解的存在唯一性,并对半离散化方法的收敛性进行了讨论,在理论上对森林发展系统的模型建立及研究方法进行了讨论。

To sufficiently recognize the law of forest evolution,explain some phenomena in forest evolution and provide important support to long-term development planning,many scholars contribute to the theoretical analysis and quantitative description of forest evolution system.In this paper,a nonlinear semi-discrete model of forest evolution system was presented,then the existence and uniqueness of the solution were proved on basis of Schauder fixed point theory.Finally,the convergence of the semi-discrete algorithm and research methods were discussed.