Computer aided proof for the global stability of Lotka-Volterra systems
type: Item
instance of: scholarly article
title: Computer aided proof for the global stability of Lotka-Volterra systems
zbMATH Open document ID: 0887.34050
DOI: 10.1016/0898-1221(96)00075-2
author: Zhengyi Lu
publication date: 1998-05-14T00:00:00Z
review text: The Lotka-Volterra system \[ \dot x_i= x_i \sum^n_{j=1} a_{ij} (x_j-x_j^*), \quad i=1,2, \dots, n, \] is considered. The problem of stability of the equilibrium state \(x^*\) is solved in terms of the modification of LaSalle's invariance principle and Wu's characteristic set method [\textit{W.-T. Wu}, Sci. Sinica 21, 159-172 (1978; Zbl 0376.68057)].
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 92D25
zbMATH DE Number: 915154
zbMATH Keywords: global stability
zbMATH Keywords: Lotka-Volterra system
zbMATH Keywords: LaSalle's invariance principle
reviewed by: A. A. Martynyuk
MaRDI profile type: Publication
full work available at URL: 0898-1221(96)00075-2
OpenAlex ID: W2095469588
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published in: Computers & Mathematics with Applications
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description: scientific article; zbMATH DE number 915154