中文摘要：

二维森林发展系统模型的研究还未见到任何结果。针对这类系统初始状态依赖于林木总量,而边界状态又依赖于初始状态,系统的边界不满足通常的三类条件之一的特点,采用在＂树龄-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、迭代等技巧证明了这个系统整体古典解的存在唯一性。

英文摘要：

The research of two-dimensional forest dynamics system model is still open.First,for the peculiarity of two-dimensional forest dynamics systems with initial state depending only on total quantity of forest,and boundary condition depending only on initial state again,boundary of system not satisfying one of 3 kinds common conditions,by introducing 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,iteration,the existence and uniqueness of the global classical solution are proved for this system.