A ratio-dependent predator-prey model with stage structure and optimal harvesting policy

被引：1

作者：

Cai, Liming ^{[1
,2
]}

Li, Xuezhi ^{[1
]}

Yu, Jingyuan ^{[2
]}

Zhu, Guangtian ^{[3
]}

机构：

[1] Xinyang Normal Univ, Dept Math, Xinyang 464000, Henan, Peoples R China

[2] Beijing Inst Informat Control, Beijing 100037, Peoples R China

[3] CAS, Acad Math & Syst Sci, Beijing 100080, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2008年 / 31卷 / 07期

关键词：

predator-prey system; stage structure; ratio dependence; global stability; optimal harvesting policy;

D O I：

10.1002/mma.956

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a ratio-dependent preclator-prey model with stage structure and harvesting is investigated. Mathematical analyses of the model equations with regard to boundedness of solutions, nature of equilibria, permanence and stability are performed. By constructing appropriate Lyapunov functions, a set of easily verifiable Sufficient conditions are obtained for the global asymptotic stability of nonnegative equilibria of the model. The existence possibilities of bioeconomic equilibria have been examined. An optimal harvesting policy is also given by using Pontryagin's maximal principle. Copyright (C) 2007 John Wiley & Sons, Ltd.

引用

页码：859 / 877

页数：19

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