On the \({\omega}\)-limit set dichotomy of cooperating Kolmogorov systems
type: Item
instance of: scholarly article
title: On the \({\omega}\)-limit set dichotomy of cooperating Kolmogorov systems
zbMATH Open document ID: 1039.34038
DOI: 10.1023/A:1026287609893
author: Yi Wang
author: Jifa Jiang
published in: Positivity
publication date: 2004-01-06T00:00:00Z
review text: The authors study cooperative systems of the form \[ x'_i=x_i f(x), \quad x_i\geq 0, \quad i=1,\dots, n. \] They investigate the following property of \(\omega\)-limit sets: if \(x<y\) (in the sense of usual order on the positive orthant), then either \(\omega(x)\leq \omega(y)\) or \(\omega(x)=\omega(y)\subset E\), where \(E\) is the set of equilibria.
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 2021985
zbMATH Keywords: cooperative systems
zbMATH Keywords: \(\omega\)-limit set
zbMATH Keywords: irreducible
zbMATH Keywords: convergence
zbMATH Keywords: equilibrium
reviewed by: Sergei Yu. Pilyugin
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2021985