Numerical integration of fully nonlinear size-structured population models

被引：40
|
作者：
Angulo, O
López-Marcos, JC
机构：
[1] Univ Valladolid, Dept Matemat Aplicada, Valladolid 47014, Spain
[2] Univ Valladolid, Dept Matemat Aplicada, Valladolid, Spain
来源：
APPLIED NUMERICAL MATHEMATICS | 2004年 / 50卷 / 3-4期
关键词：
fully nonlinear size-structured population models; characteristics' methods; selection grid points; convergence;
D O I：
10.1016/j.apnum.2004.01.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Characteristics' schemes of second order are introduced for the numerical solution of size-structured population models. The models are fully nonlinear: all the vital functions (growth, mortality and fertility rates) depend on the total population. The schemes are completely analysed: consistency, stability, existence and convergence are established. Some numerical experiments are also reported in order to show numerically the results proved in our analysis and to study the efficiency of a selection nodes technique. (C) 2004 IMACS. Published by Elsevier B.V. All rights reserved.
引用
收藏
页码：291 / 327
页数：37
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