| THE OPTIMAL HARVESTING OF A PREDATOR-PREY SYSTEM WITH STAGE-STRUCTURE |
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| 作者姓名： | Li Qiuying Zhang Fengqin |
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| 作者单位： | Li Qiuying Zhang Fengqin (Dept.of Applied Math.，Yuncheng University，Yuncheng 044000，Shanxi) Jia Jianwen (School of Math.and Comput.Sci.，Shanxi Normal University，Linfen 041004，Shanxi) |
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| 基金项目： | the National Natural Science Foundation of China (10471040)，the Sciences Foundation of Shanxi (2005Z010) |
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| 摘 要： | In this paper,we establish the exploitation of continuous harvest of preda- tor and prey with stage-structures.We investigate the properties of harvesting multispecies systems.With some special methods,we obtain boundedness and global attractiveness of all the nonnegative equilibria for proportional harvest. Finally,we solve the problem of optimal harvest policy using Pontragin's ma- ximal principle.
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| 关 键 词： | 时间推迟 数学分析 系统分析 逻辑关系 |
THE OPTIMAL HARVESTING OF A PREDATOR-PREY SYSTEM WITH STAGE-STRUCTURE |
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| Li Qiuying Zhang Fengqin.THE OPTIMAL HARVESTING OF A PREDATOR-PREY SYSTEM WITH STAGE-STRUCTURE[J].微分方程年刊(英文版),2007,23(4):440-445. |
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| Authors: | Li Qiuying Zhang Fengqin Jia Jianwen |
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| Institution: | [1]Dept. of Applied Math., Yuncheng University, Yuncheng 044000, Shanxi [2]School of Math. and Comput. Sci., Shanxi Normal University, Linfen 041004, Shanxi |
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| Abstract: | In this paper,we establish the exploitation of continuous harvest of preda- tor and prey with stage-structures.We investigate the properties of harvesting multispecies systems.With some special methods,we obtain boundedness and global attractiveness of all the nonnegative equilibria for proportional harvest. Finally,we solve the problem of optimal harvest policy using Pontragin's ma- ximal principle. |
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| Keywords: | stage structure predator-prey harvesting time-delay |
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