| 具B-D功能反应捕食统稳定性分析与最优捕获策略 |
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| 引用本文： | 丁建华,雒志学.具B-D功能反应捕食统稳定性分析与最优捕获策略[J].数学的实践与认识,2012,42(13):262-265. |
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| 作者姓名： | 丁建华 雒志学 |
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| 作者单位： | 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 |
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| 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.
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| 关 键 词： | 平衡点 稳定性 功能反应 最优收获策略 |
The Predator-prey System of Global Stability and Optimal Harvesting Policy with Beddington-Deangelis Functional Response |
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| DING Jian-hua
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LUO Zhi-xue.The Predator-prey System of Global Stability and Optimal Harvesting Policy with Beddington-Deangelis Functional Response[J].Mathematics in Practice and Theory,2012,42(13):262-265. |
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| Authors: | DING Jian-hua LUO Zhi-xue |
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| Institution: | (Department of Chemical Engineering,Gansu Vocational&Technical College of Nonferrous Metallurgy,Jinchang 737100,China) (Department of Mathematics,Lanzhou Jiaotong University,Lanzhou 730070,China) |
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| Abstract: | 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 |
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| Keywords: | equilibrium stability functional response optimal harvesting policy |
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