最优捕鱼策略的 Scheafer-Leslie 模型──1996 年全国大学生数学建模竞赛A题  

A Scheafer Leslie Model about the Best Tactics Fishing—Results A of the 1996 Mathematical Modeling Contest in China

作　　者：李银山[1] 张建明[1] 卢准炜[1] 

机构地区：[1]太原理工大学

出　　处：《太原理工大学学报》1998年第1期57-61,共5页Journal of Taiyuan University of Technology

摘　　要：本文建立了可持续捕捞条件下的总产量最大的优化模型，通过编程求出了最优捕捞强度系数和最大年捕捞量，制定了最优捕鱼方案。考虑连续和离散两种情形，建立了在不破坏鱼的生态平衡的同时，获得最大经济效益的Ｓｃｈｅａｆｅｒ－Ｌｅｓｌｉｅ模型，推出并证明了可持续捕获条件可用净繁殖率Ｒ＝１是否成立作出判断。In this paper,the optimal model of maximum total output on continued fishing conditions is given. The optimal fishing strength coefficient and the maximum fishing quantity per year is computed by program.The optimal fishing plan is worked out.Considering two situations:continuous and discrete,a Scheafer Leslie model is built,which can obtain maximum economic benefit,without destroying ecological balance.In the paper,we also deduce and show that the continuous fishing condition can be distinguished by net breeding rate,RR,being equal to 1 or not.

关 键 词：渔业 微分方程模型 最优捕鱼策略 S-L模型 

分 类 号：S911[农业科学—水产科学]