中文摘要：

对普通的森林纯林发展系统，已经有不少研究结果[1-5]．对竹林系统一维问题有人进行过描述[6]，二维问题还未见到有人研究．竹林是一类特殊的森林，它通过自主发笋进行更新．本文提出了一个环境依赖型二维竹林纯林发展系统模型，并针对这类系统边界状态有些混沌，不满足通常的三类条件之一的特点，采用在“竹龄一直径”存在区域内引进一类特殊的曲线族，避开了提边界条件问题．再利用适当地选择林木直径尺度量纲的技巧，提出了一个适定的二维纯林发展系统模型，最后综合拉特征线、先验估计、构造初始状态积分方程、迭代等技≯了证明了这个系统整体古典解的存在唯一性．

英文摘要：

Many results have been get about research of ordinary pure forest development system[1-51. One- dimensional problem of pure bamboo forest development system has been de- scribed by someone too[6], but without any results have come forth for two-dimensional problem of this class system. Bamboo forest is a kind especial forest which renewal depends upon out- ing shoot bamboo shoot spontaneously. In this paper a two-dimensional model of pure bamboo forest development system depending on environment is presented, and for the peculiarity of two- dimensional bamboo forest dynamics systems first, which boundary cannot satisfy one of 3 kinds common conditions, and appears chaos state by introducing into a class of special family curves in presence region of ＂stand age-diameter＂, the problem of boundary conditions is avoided. Secondly, using the technique of selecting measure dimension of lumber diameter properly, a well-posed two dimensional forest dynamics system model is propounded. At last, colligating the technique of pulling characteristic curve, a prior estimate, structuring integral equation of initial state, itera- tion, the existence and uniqueness of the global classical solution are proved to this system.