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本文把红松林的种子,鼠类和幼苗幼树作为森林发生和演替的钮带。把它们之间的相互调节和相互依存关系归结为3条基本假设:①不考虑其它干扰因素时,红松种子按理想的自养发育过程指数增长,受鼠类的影响而不断减少;②鼠量随种子数量增加而增加,随自身的衰亡而减少;③幼苗幼树随鼠埋藏作用而增加,随自身稀疏过程而减少。其数学模型为 通过对(Ⅰ)解行为的分析给出红松林生态系统稳定条件为a_2=b_1,a_2b_1>b_2~2(=a_1~2),同时也证明了数学稳定与生物学生态学稳定的,关系,指出了动态平衡和种群波动应是红松林生态系统的典型特征。为开发森林资源维护生态系统平衡提供科学依据,并建立和分析了人为采种和捕鼠条件下的数学模型。
In this paper, korean pine seedlings, rodents and seedlings saplings as the occurrence and succession of the forest button. At the same time, the mutual regulation and interdependence between them are summed up in three basic hypotheses: (1) when considering other disturbing factors, the growth rate of Korean pine seeds is exponentially increasing according to the ideal autotrophic development, The amount increased with the increase of seed number and decreased with its own decline. ③ The seedling saplings increased with the burial of mice and decreased with their own sparse process. Its mathematical model is that the stability conditions of Korean pine forest ecosystem are given as a_2 = b_1, a_2b_1> b_2 ~ 2 (= a_1 ~ 2) through the analysis of the solution of (Ⅰ). At the same time, it is also proved that the mathematical stability and biological ecological stability It is pointed out that dynamic balance and population fluctuation should be the typical characteristics of Korean pine forest ecosystem. It provides a scientific basis for developing forest resources and maintaining ecosystem balance, and establishes and analyzes mathematical models under man-made and mouse-trapping conditions.