具B-D功能反应捕食统稳定性分析与最优捕获策略  

The Predator-prey System of Global Stability and Optimal Harvesting Policy with Beddington-Deangelis Functional Response

作　　者：丁建华 雒志学[2] 

机构地区：[1]甘肃有色冶金职业技术学院化工系,甘肃金昌737100 [2]兰州交通大学数理与软件工程学院,甘肃兰州730070

出　　处：《数学的实践与认识》2012年第13期262-265,共4页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10771048)

摘　　要：运用微分方程理论研究了具B-D功能反应捕食系统的收获模型.通过构造Liapunov函数证明了系统正平衡点是全局渐近稳定的;同时应用pantryagin最大值原理得到无限的贴现率最终导致净经济利润为零的结论.The predator-prey system with Beddington-Deangelis functional response was studied by using the theory of differential equation. The globally asyinptoticial stability of the positive equilibrium was proved by constructing a liapunov function. Moreover, we receive a conclusion which an infinite discount rate leads to the net economic revenue tending to zero by the Pantryagin＇s Maximal Principle

关 键 词：平衡点 稳定性 功能反应 最优收获策略 

分 类 号：O175[理学—数学]