| 一类具有Beddington-Deangelis功能反应捕食系统的收获模型 |
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| 引用本文： | 刚毅,张凤琴.一类具有Beddington-Deangelis功能反应捕食系统的收获模型[J].数学的实践与认识,2009,39(20). |
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| 作者姓名： | 刚毅 张凤琴 |
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| 作者单位： | 运城学院,应用数学系,运城,044000 |
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| 基金项目： | 山西省自然科学基金项目，山西省重点扶持学科项目、山西省教育厅科技开发项目，运城学院院级科研项目 |
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| 摘 要： | 研究了一类具有Beddington-Deangelis功能反应捕食系统的收获模型,讨论该系统生物经济平衡点的性态,得到了系统正平衡点全局渐进稳定的充分条件;然后利用Pontryagin最大值原理得到了最优收获策略,讨论了贴现率能影响收获种群的利润水平.
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| 关 键 词： | 功能反应 最优捕获 征税 |
Modelling and Analysis of a Prey-predator System with Bedding-Deangelis Functional Response and Harvesting |
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| GANG Yi,ZHANG Feng-qin.Modelling and Analysis of a Prey-predator System with Bedding-Deangelis Functional Response and Harvesting[J].Mathematics in Practice and Theory,2009,39(20). |
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| Authors: | GANG Yi ZHANG Feng-qin |
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| Abstract: | We consider a prey-predator system with Bedding-Deangelis functional response and selective harvesting of predator species. We study the existence of its steady states and their stability. By using Pontryagin's maximum principle we obtain the optimal harvesting policy, and discusss the profit level affected by discount rate. |
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| Keywords: | functional response optimal harvesting tax |
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