基于Leslie-Gower捕食-被食模型的渔业收获问题(英文)  

Harvesting of a Prey-predator Fishery Based on Leslie-Gaower Model

作　　者：陈晓锋[1] 

机构地区：[1]福州大学数学与计算机科学学院,福建福州350002

出　　处：《数学研究》2010年第3期256-263,共8页Journal of Mathematical Study

基　　金：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.We discuss the bio-economic harvesting of a prey-predator fishery based on Leslie-Gaower 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 feasibility of the main results.

关 键 词：Leslie-Gower模型 局部稳定性 渔业税收 

分 类 号：O242.1[理学—计算数学]