Global dynamic behavior for Lotka-Volterra systems with a reducible interaction matrix
type: Item
instance of: scholarly article
title: Global dynamic behavior for Lotka-Volterra systems with a reducible interaction matrix
zbMATH Open document ID: 0836.34050
author: Zhengyi Lu
author: Yasuhiro Takeuchi
published in: Journal of Mathematical Analysis and Applications
publication date: 1996-04-22T00:00:00Z
review text: The asymptotic properties of the solutions of the Lotka-Volterra system \(x_i' = x_i \sum^n_{j = 1} a_{ij} (x_j - x_j^*)\), \(i = 1,2, \dots, n\) are discussed. The conditions allow the solutions to show complicated global asymptotic behaviours; e.g. the LaSalle invariant sets can have nonconstant periodic solutions.
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34D45
zbMATH DE Number: 811190
zbMATH Keywords: asymptotic stability
zbMATH Keywords: Lotka-Volterra system
zbMATH Keywords: LaSalle invariant sets
reviewed by: László Hatvani
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1253
OpenAlex ID: W1993628999
DOI: 10.1006/JMAA.1995.1253
description: scientific article; zbMATH DE number 811190