On the stability and spectral radius of a finite set of matrices

被引：0

作者：

Canto, B. ^{[1
]}

Coll, C. ^{[1
]}

Sanchez, E. ^{[1
]}

机构：

[1] Univ Politecn Valencia, Inst Matemat Multidisciplinar, E-46022 Valencia, Spain

来源：

LINEAR & MULTILINEAR ALGEBRA | 2016年 / 64卷 / 03期

关键词：

nonnegative matrix; stability; spectral radius; periodic linear systems; epidemic model; BASIC REPRODUCTION NUMBER; MODELS;

D O I：

10.1080/03081087.2015.1040404

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper studies some problems related to the stability and the spectral radius of a finite set of matrices. A seasonal epidemic model is given to illustrate the use of the obtained results. In this example, the relationship between the obtained results and the stability of a discrete time periodic linear system is obtained.

引用

页码：353 / 361

页数：9

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