最优捕鱼策略模型

The Model of Optimal Fishing Game

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 。

The article takes the fish resource as an example ,thinking over the difference of the age group fish,we introuduce the Leslie model of the age group and build the Leslie matrix.According to the matrix's simplicity positive eigenvalue λ=1 of Leslie,every age group's amount of the fish and the whole fish amount hold the line,because it accords with the theory of Dynamic programming,we can use recursion way and get hold of constraint equation of the 3 and 4 years old escape rate and the most fishing amount's target function every year beacuse the last year's fish amount affects the next year's fish amount when we contract with fishing.In order to assure contract fore-and-after throughout changing not much,we can get hold of the optimun fishing game.