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基于Leslie-Gower捕食-被食模型的渔业收获问题
引用本文:陈晓锋.基于Leslie-Gower捕食-被食模型的渔业收获问题[J].数学研究,2010,43(3):256-263.
作者姓名:陈晓锋
作者单位:福州大学数学与计算机科学学院,福建,福州350002
基金项目:Supported by the Foundation to the Educational Committee of Fujian(JB08020)
摘    要:考虑了基于Leslie-Gower模型的生物经济学捕获问题,通过对税收政策的控制影响渔业生态系统,研究了系统的动力学行为,并通过Pontryagins最大值原理考虑了最优的税收政策,最后给出了系统仿真.

关 键 词:Leslie-Gower模型  局部稳定性  渔业税收

Harvesting of a Prey-predator Fishery Based on Leslie-Gaower Model
Chen Xiaofeng.Harvesting of a Prey-predator Fishery Based on Leslie-Gaower Model[J].Journal of Mathematical Study,2010,43(3):256-263.
Authors:Chen Xiaofeng
Institution:Chen Xiaofeng (College of Mathematics and Computer Science,Fuzhou University,Fuzhou Fujian 350002)
Abstract:We discuss the bio-economic harvesting of a prey-predator fishery based on LeslieGaower model.The dynamic behavior of the system is examined.The optimal harvesting policy is studied by using Pontryagin's maximal principle.Finally,an example together with numerical simulation shows the feasibiliW of the main results.
Keywords:Leislie-Gower model  local stable  fishery tax police
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