Permanence and global stability for nonautonomous discrete model of plankton allelopathy.
type: Item
instance of: scholarly article
title: Permanence and global stability for nonautonomous discrete model of plankton allelopathy.
zbMATH Open document ID: 1067.39009
author: Haifeng Huo
author: Wan-Tong Li
published in: Applied Mathematics Letters
publication date: 2005-03-07T00:00:00Z
review text: For the system \(x_i(k+ 1)= x_i(k)\exp\{r_i- a_{i1} x_1(k)- a_{i2} x_2(k)-b_i x_1(k)x_2(k)\}\) with variable coefficients, \(i= 1,2\), sufficient conditions are given such that it is permanent. In the case of periodic coefficients sufficient conditions are given such that a periodic solution exists, and that this solution is globally stable, in case it is positive.
reviewed by: Lothar Berg
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 92D25
Mathematics Subject Classification ID: 92D40
zbMATH DE Number: 2140776
zbMATH Keywords: plankton allelopathy
zbMATH Keywords: Periodic solution
zbMATH Keywords: Permanence
zbMATH Keywords: Global stability
MaRDI profile type: Publication
full work available at URL: j.aml.2004.07.002
OpenAlex ID: W2053292335
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DOI: 10.1016/J.AML.2004.07.002
description: scientific article; zbMATH DE number 2140776