Stability analysis of the Gurtin-MacCamy model

被引：24

作者：

Breda, D. ^{[1
]}

Iannelli, M. ^{[2
]}

Maset, S. ^{[3
]}

Vermiglio, R. ^{[1
]}

机构：

[1] Univ Udine, Dipartimento Matemat & Informat, I-33100 Udine, Italy

[2] Univ Trent, Dipartimento Matemat, I-38050 Trento, Italy

[3] Univ Trieste, Dipartimento Matemat & Informat, I-34127 Trieste, Italy

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2008年 / 46卷 / 02期

关键词：

age-structured population; asymptotic stability; characteristic roots; eigenvalue problem;

D O I：

10.1137/070685658

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we propose a numerical scheme to investigate the stability of steady states of the nonlinear Gurtin-MacCamy system, which is a basic model in population dynamics. In fact the analysis of stability is usually performed by the study of transcendental characteristic equations that are too difficult to approach by analytical methods. The method is based on the discretization of the infinitesimal generator associated to the semigroup of the solution operator by using pseudospectral differencing techniques. The method computes the rightmost characteristic roots, and it is shown to converge with spectral accuracy behavior.

引用

页码：980 / 995

页数：16

共 15 条

[1] Computing the characteristic roots for delay differential equations [J].