On the approximation of the Lotka-McKendrick equation with finite life-span

被引：36

作者：

Iannelli, M

Milner, FA

机构：

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

[2] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2001年 / 136卷 / 1-2期

关键词：

age structure; numerical method;

D O I：

10.1016/S0377-0427(00)00616-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the linear Lotka-McKendrick equation and discuss in detail how to solve the problem of the breakdown of the usual finite-difference methods when the mortality is unbounded. Usual error bounds require some derivative of the mortality rate to be bounded across all ages. Our approach works for a model class of mortality rates, and we show that not all methods are compatible with any mortality function. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：245 / 254

页数：10

共 20 条

[1] RUNGE-KUTTA METHODS FOR AGE-STRUCTURED POPULATION-MODELS [J].