| 具有庇护所的R型捕食-食饵系统的最优收获 |
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| 引用本文： | 贾玲,窦霁虹,王晓玲. 具有庇护所的R型捕食-食饵系统的最优收获[J]. 西北大学学报(自然科学版), 2012, 0(4): 541-544,556 |
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| 作者姓名： | 贾玲 窦霁虹 王晓玲 |
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| 作者单位： | 西北大学数学系 |
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| 基金项目： | 陕西省教育厅科研基金资助项目(11JK0511) |
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| 摘 要： | 目的研究了一类具有庇护所的Rosenzweig型捕食-食饵系统收获模型。方法应用Hur-witz判据、极限环理论、Pontryagin最大值原理等进行研究。结果分别得到了随捕获努力量变化时系统的状态、庇护所效应具有稳定化作用和两种群的最优收获策略。结论在此系统中,庇护所效应具有稳定化作用,最优收获策略为生物资源的有效开发提供了理论依据。
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| 关 键 词： | 捕食-食饵系统 Rosenzweig型 庇护所效应 |
The optimal harvesting for a predator-prey system with R functional response and a prey refuge |
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| JIA Ling,DOU Ji-hong,WANG Xiao-ling. The optimal harvesting for a predator-prey system with R functional response and a prey refuge[J]. Journal of Northwest University(Natural Science Edition), 2012, 0(4): 541-544,556 |
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| Authors: | JIA Ling DOU Ji-hong WANG Xiao-ling |
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| Affiliation: | (Department of Mathematics,Northwest University,Xi′an 710069,China) |
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| Abstract: | Aim A harvesting Rosenzweig predator-prey system incorporating a prey refuge is analysed.Methods By applying the Hurwit criterion,the limit theory,and Pontryagin′s maximal principle.Results The state of the system is given upon the change of the harvesting efforts,in addition,the influence of prey refuge for the system and the optimal harvesting policy are obtained.Conclusion In the system,the stabilizing effect of prey refuge is obtained.The optimal harvesting policy provides a basis for the use of bioliogical resources. |
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| Keywords: | predator-prey system Rosenzweig-type prey refuge |
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