应用Green定理解决渔业资源最优捕获问题

Abstract

利用马尔萨斯生物种群理论中的鱼口模型和Verhulst方程,给出了时间和捕捞数量的关系,然后利用定理,得到了按照一定数量捕捞,才能使恰当时间捕捞的鱼口数量最多的最优方案.

Based on the fish population models in Malthusian theory and Verhulst equation,the relationship between the time and the catching amount is presented.By using Green theorem,the optimum scheme that the maximum amount of fish can be caught at a given time is obtained.