在容量较小的污染环境中种群的最优捕获问题  

Optimal Capture Problem of Population for Polluted Environment in the Smaller Capacity

作　　者：赵琳[1] 雒志学[1] 王利红[1] 

机构地区：[1]兰州交通大学数理与软件工程学院,兰州730070

出　　处：《重庆理工大学学报（自然科学）》2011年第2期122-126,共5页Journal of Chongqing University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(10771048)

摘　　要：讨论了在容量较小的污染环境中种群的最优捕获问题。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。In this paper,we study optimal harvesting problem of population,which live in a small capacity and polluted environment.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：种群 污染环境 最优控制 收获 

分 类 号：O175[理学—数学]