MODELING AND ANALYSIS OF A HARVESTING FISHERY MODEL IN A TWO-PATCH ENVIRONMENT

被引：8
|
作者：
Cai, Liming [1 ]
Li, Xuezhi [1 ]
Song, Xinyu [1 ]
机构：
[1] Xinyang Normal Univ, Coll Math & Informat Sci, Xinyang 464000, Henan, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2008年 / 1卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Stage-structure; global stability; migration rates; optimal harvesting policy;
D O I：
10.1142/S1793524508000242
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, a harvesting fishery model in a two-patch environment: one free-fishing zone and the other one reserved zone where fishing is strictly prohibited, is proposed and analyzed. The existence of possible biological steady states, along with their local stability, instability and global stability is discussed. The existence of bioeconomic equilibrium is derived. An optimal harvesting policy is also given by applying pontryagin's maximum principle.
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页码：287 / 298
页数：12
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