基于食饵保护的食饵-捕食捕鱼模型分析

数学季刊 ›› 2011, Vol. 26 ›› Issue (2): 290-295.

基于食饵保护的食饵-捕食捕鱼模型分析

1. Information and Communications Company of Qinghai Electric Power Corporation2. Xining Power Supply Corporation

收稿日期:2007-07-19 出版日期:2011-06-30 发布日期:2023-05-05
作者简介:SUN Jun-fang(1983-), female, native of Qin’an, Gansu, M.S.D., engages in applied mathematics; GOU Xiao-kan(1984-), male, native of Qin’an, Gansu, engages in high-voltage technology.
基金资助:

Analysis of a Prey-predator Fishery Model with Prey Reserve

1. Information and Communications Company of Qinghai Electric Power Corporation2. Xining Power Supply Corporation

Received:2007-07-19 Online:2011-06-30 Published:2023-05-05
About author:SUN Jun-fang(1983-), female, native of Qin’an, Gansu, M.S.D., engages in applied mathematics; GOU Xiao-kan(1984-), male, native of Qin’an, Gansu, engages in high-voltage technology.

摘要/Abstract

摘要： In this paper, we consider a prey-predator fishery model with prey dispersal in a two-patch environment, one is assumed to be a free fishing zone and the other is a reserved zone where fishing and other extractive activities are prohibited. The existence of possible steady states of the system is discussed. The local and global stability analysis has been carried out. An optimal harvesting policy is given using Pontryagin's maximum principle.

关键词: prey-predator, global stability, optimal harvesting

Abstract: In this paper, we consider a prey-predator fishery model with prey dispersal in a two-patch environment, one is assumed to be a free fishing zone and the other is a reserved zone where fishing and other extractive activities are prohibited. The existence of possible steady states of the system is discussed. The local and global stability analysis has been carried out. An optimal harvesting policy is given using Pontryagin's maximum principle.

Key words: prey-predator, global stability, optimal harvesting

中图分类号:

O175

孙军芳, 苟晓侃. 基于食饵保护的食饵-捕食捕鱼模型分析[J]. 数学季刊, 2011, 26(2): 290-295.

SUN Jun-fang, GOU Xiao-kan. Analysis of a Prey-predator Fishery Model with Prey Reserve [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(2): 290-295.

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