| 周期性Gompertz差分模型的最优脉冲收获策略 |
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| 引用本文： | 刘彦平,王万雄,雒志学.周期性Gompertz差分模型的最优脉冲收获策略[J].经济数学,2011,28(2):34-39. |
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| 作者姓名： | 刘彦平 王万雄 雒志学 |
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| 作者单位： | 1. 甘肃农业大学,理学院,甘肃,兰州,730070
2. 兰州交通大学,数理学院,甘肃,兰州,730070 |
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| 基金项目： | 国家自然科学基金资助项目，甘肃省自然科学基金资助项目 |
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| 摘 要： | 考虑一个具有周期性脉冲收获的Gompertz差分系统,推导了保证种群系统持续生存、绝灭以及存在全局吸引的正脉冲周期解的充要条件,以一个周期内持续产量最大化为管理目标,通过利用离散的Pontryagin最大值原理获得了最优的脉冲收获策略,推广了现有的结论.
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| 关 键 词： | Gompertz差分模型 周期解 全局吸引 离散Pontryagin最大值原理 脉冲收获 |
Optimal Impulsive Harvesting Policy for a Periodic Gompertz Difference Model |
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| LIU Yan ping,WANG Wan xiong,LUO Zhi xue.Optimal Impulsive Harvesting Policy for a Periodic Gompertz Difference Model[J].Mathematics in Economics,2011,28(2):34-39. |
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| Authors: | LIU Yan ping WANG Wan xiong LUO Zhi xue |
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| Affiliation: | 1.College of Science,Gansu Agricultural University,Lanzhou 730070,China;2.Department of Mathematics,Lanzhou Jiaotong University,Lanzhou 710069,China) |
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| Abstract: | A Gompertz difference system with periodic impulsive harvesting was investigated.The sufficient and necessary conditions,which guarantee the permanence,extinction and existence of a globally attractive impulsive periodic solution,were obtained.Choosing maximum sustainable annual yield as the management objective,the optimal impulsive harvesting policy was derived via the discrete maximum principle.The theorems generalize many existing conclusions. |
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| Keywords: | Gompertz difference model periodic solution global attraction discrete Pontryagin maximum principle impulsive harvest |
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