数学物理学报(英文版)

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OPTIMAL HARVESTING POLICY FOR INSHORE-OFFSHORE FISHERY MODEL WITH IMPULSIVE DIFFUSION

董玲珍; 陈兰荪; 孙丽华   

  1. 太原理工大学数学系, 太原 030024
  • 收稿日期:2005-04-04 修回日期:2005-11-21 出版日期:2007-04-20 发布日期:2007-04-20
  • 通讯作者: 董玲珍

OPTIMAL HARVESTING POLICY FOR INSHORE-OFFSHORE FISHERY MODEL WITH IMPULSIVE DIFFUSION

Dong Lingzhen; Chen Lansun; Sun Lihua   

  1. Department of Mathematics, Taiyuan University of Technology, Taiyuan 030024, China
  • Received:2005-04-04 Revised:2005-11-21 Online:2007-04-20 Published:2007-04-20
  • Contact: Dong Lingzhen

摘要:

This article studies the inshore-offshore fishery model with impulsive diffusion. The existence and global asymptotic stability of both the trivial
periodic solution and the positive periodic solution are obtained. The complexity of this system is also analyzed. Moreover, the optimal harvesting policy are given for the inshore subpopulation, which includes the maximum sustainable yield and the corresponding harvesting effort.

关键词: Impulsive diffusion, inshore-offshore fishery model, global asymptotic stability, periodic solution, optimal harvesting policy

Abstract:

This article studies the inshore-offshore fishery model with impulsive diffusion. The existence and global asymptotic stability of both the trivial
periodic solution and the positive periodic solution are obtained. The complexity of this system is also analyzed. Moreover, the optimal harvesting policy are given for the inshore subpopulation, which includes the maximum sustainable yield and the corresponding harvesting effort.

Key words: Impulsive diffusion, inshore-offshore fishery model, global asymptotic stability, periodic solution, optimal harvesting policy

中图分类号: 

  • 92D30