Permanence and global stability for nonautonomous discrete model of plankton allelopathy

被引：47

作者：

Huo, HF ^{[1
]}

Li, WT

机构：

[1] Lanzhou Univ Technol, Inst Appl Math, Lanzhou 730050, Gansu, Peoples R China

[2] Lanzhou Univ, Dept Math, Lanzhou 730000, Gansu, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2004年 / 17卷 / 09期

基金：

中国国家自然科学基金;

关键词：

allelopathy; periodic solution; permanence; global stability;

D O I：

10.1016/j.aml.2004.07.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Discrete model of plankton allelopathy is studied. The model allows for a fluctuating environment. Sufficient conditions, which guarantee the permanence of the model axe obtained at first. Assuming that the coefficients in the model are periodic, the existence of periodic solutions are also obtained. At last, by linearization of the model at positive periodic solutions and construction of Lyapunov function, sufficient conditions axe obtained to ensure the global stability of the positive periodic solution. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1007 / 1013

页数：7

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