食饵-捕食系统最优化开发研究  

The Problem of Optimal Exploitation to Prey-predator System

作　　者：方壮[1] 陈以平[1] 

机构地区：[1]湖北民族学院数学系,湖北恩施445000

出　　处：《湖北民族学院学报（自然科学版）》2006年第1期18-22,共5页Journal of Hubei Minzu University(Natural Science Edition)

基　　金：湖北省教育厅优秀中青年项目(Q200529001)

摘　　要：给出了几种开发食饵-捕食系统的方案,以及与之相对应的方程.得出了在非密度制约条件下,不同捕获方案的最大收益值,并做出了相关生态解释.通过对不同捕获方案的比较,得到了获取最大收益时的充分条件,最后运用M atlab对结论进行了数值模拟.In this paper we give several planls to exploit prey - predator system and their corresponding equations. Sufficient conditions are obtained for revenue of different exploitation plans under the intensity - restricted condition, and the corresponding explanation with respect to mathematical ecology. By comparing the maximum economic revenues of different plans, we give sufficient conditions for different harvesting plans under the maximum economic revenue.

关 键 词：食饵-捕食系统 捕获方案 最大持续收益 

分 类 号：O175.14[理学—数学]