Extinction in periodic competitive stage-structured Lotka-Volterra model with the effects of toxic substances

被引：31

作者：

Li, Zhong ^{[1
]}

Chen, Fengde ^{[1
]}

机构：

[1] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Fujian, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2009年 / 231卷 / 01期

关键词：

Extinction; Permanence; Global attractivity; Toxicology; PREDATOR-PREY SYSTEM; TIME-DELAY; PLANKTON ALLELOPATHY; AVERAGE CONDITIONS; INFINITE DELAY; PERMANENCE; POPULATION; DIFFUSION; BEHAVIORS; STABILITY;

D O I：

10.1016/j.cam.2009.02.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider a periodic competitive stage-structured Lotka-Volterra model with the effects of toxic substances. It is shown that toxic substances play an important role in the extinction of species. We obtain a set of sufficient conditions which guarantee that one of the components is driven to extinction while the other is globally attractive. The numerical simulation of an example verifies our main results. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：143 / 153

页数：11

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