Permanence of a predator-prey system with stage structure and time delay

被引：27

作者：

Ma, Zhi-hui ^{[1
]}

Li, Zi-zhen ^{[1
,2
]}

Wang, Shu-fan ^{[2
]}

Li, Ting ^{[2
]}

Zhang, Feng-pan ^{[2
]}

机构：

[1] Minist Educ, Key Lab Arid & Grassland Agroecol, Lanzhou 730000, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2008年 / 201卷 / 1-2期

基金：

中国国家自然科学基金;

关键词：

a predator-prey system; stage structure; discrete time delay; permanence; non-permanence;

D O I：

10.1016/j.amc.2007.11.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A stage-structured predator-prey system (stage structure for both predator and prey) with discrete time delay has been presented in this paper. By analyzing the model and using the standard comparison theorem, the sufficient conditions are derived for permanence of the system and non-permanence of predators. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：65 / 71

页数：7

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