污染环境中可再生资源的最优收获问题  

An Optimal Harvesting Problem in a Polluted Environment

作　　者：雒志学[1] 何泽荣[1] 

机构地区：[1]西安交通大学应用数学系,陕西西安710049

出　　处：《生物数学学报》2003年第3期269-274,共6页Journal of Biomathematics

基　　金：国家自然科学资助项目(19971066)

摘　　要：探讨了污染环境下双种群的最优收获问题,利用Pontryagin极大值原理得到一种最优分配方案—处理资源种群体内毒素的努力度与收获资源种群的努力度的分配方案,使经营者的经济收入达到最大,同时也得到次最优均衡解。A harvesting problem associated with a stock in a polluted environment is studied in this paper. The problem is to find an optimal allocation of efforts towards treating and harvesting the stock so as to optimize the revenue to the harvesting agency. Pontryagin's maximum principle has been used to solve the optimization problem. Optimal solution is obtained and suboptimal paths are constructed to reach this optimal solution.

关 键 词：污染环境 可再生资源 最优收获 种群 

分 类 号：X11[环境科学与工程—环境科学]