以某种鱼资源为例 ,考虑该种鱼各年龄组的差异 ,引入年龄分组和Leslie模型建立Leslie矩阵 ,再根据Leslie矩阵的单重正特征值λ =1时 ,各年龄组鱼的个体数量保持不变 ,鱼的总数也保持不变这一性质 ,利用递推法 ,在符合动态规划理论的条件下求得可持续捕获时 4龄鱼和 3龄鱼逃逸率的约束方程及年最大捕获量的目标函数 ,由于捕捞时上一年鱼的数目会影响下一年鱼的数目 ,为此 ,在保证生产能力变化不大的情况下求得最优捕鱼策略 Taking some fish resources as an example, we consider the difference of each age group of the fish, introduce the Leslie matrix by age grouping and Leslie model, and then keep the number of individuals in each age group not according to the single positive eigenvalue λ = 1 of Leslie matrix Change, the total number of fish remains the same nature, the use of recursive method, in line with the dynamic programming theory to obtain sustainable capture 4-year-old fish and 3-year-old fish escape rate of the constraint equation and maximum annual catches The objective function, due to the number of fish in the previous year when fishing, will affect the number of fish in the following year. Therefore, the optimal fishing strategy should be obtained while ensuring little change in production capacity