A criterion for stability of matrices
type: Item
instance of: scholarly article
title: A criterion for stability of matrices
zbMATH Open document ID: 0911.15007
author: Michael Y. Li
author: Liancheng Wang
published in: Journal of Mathematical Analysis and Applications
publication date: 1999-05-04T00:00:00Z
review text: The authors derive a necessary and sufficient condition for the stability of an \(n\times n\) matrix with real entries using a simple spectral property of compound matrices. This result offers an alternative to the well-known Routh-Hurwitz conditions. As an application and demonstration of the effectiveness of these criteria, the asymptotic stability of a unique endemic equilibrium of an epidemic model of SEIR type with varying total population is proved. It is also shown that the verification of the Routh-Hurwitz conditions for this problem presents substantial technical difficulties.
Mathematics Subject Classification ID: 15A42
Mathematics Subject Classification ID: 92D30
zbMATH DE Number: 1218646
zbMATH Keywords: stability
zbMATH Keywords: compound matrices
zbMATH Keywords: Routh-Hurwitz conditions
zbMATH Keywords: asymptotic stability
zbMATH Keywords: epidemic model
reviewed by: Prem Narain
MaRDI profile type: Publication
OpenAlex ID: W2039082730
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DOI: 10.1006/JMAA.1998.6020
description: scientific article; zbMATH DE number 1218646