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1,王万雄1, 雒志学2.周期性 Gompertz差分模型的最优脉冲收获策略[J].经济数学,2011,(2):34-39
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作者单位
刘彦平1,王万雄1, 雒志学2 (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) 
中文摘要: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.
中文关键词: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
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.
keywords:Gompertz difference model  periodic solution  global attraction  discrete Pontryagin maximum principle  impulsive harvest
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