Age-structured population models and their numerical solution

被引:51
|
作者
Abia, LM
Angulo, O
López-Marcos, JC
机构
[1] Univ Valladolid, Escuela Univ Politecn, Dept Matemat Aplicada, Valladolid 47014, Spain
[2] Univ Valladolid, Fac Ciencias, Dept Matemat Aplicada, Valladolid 47014, Spain
关键词
age-structured population models; Gurtin-MacCamy equation; characteristic curves methods; finite difference methods; initial and boundary data compatibility conditions;
D O I
10.1016/j.ecolmodel.2005.05.007
中图分类号
Q14 [生态学(生物生态学)];
学科分类号
071012 ; 0713 ;
摘要
This paper considers the state of the art of the numerical solution of age-structured population models,. The different numerical approaches to this kind of problems and the stability and convergence results for them are reviewed. Both characteristic curves methods and finite difference methods are compared with regards to accuracy, efficiency and their qualitative behaviour depending on the compatibility conditions between initial and boundary data of the problems. The paper is the first of a series of two considering the numerical solution of general structured population models. (c) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码:112 / 136
页数:25
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