A monotone approximation for a nonlinear nonautonomous size-structured population model

被引：15

作者：

Ackleh, AS ^{[1
]}

Deng, K ^{[1
]}

机构：

[1] Univ SW Louisiana, Dept Math, Lafayette, LA 70504 USA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2000年 / 108卷 / 2-3期

关键词：

nonlinear nonautonomous size-structured model; monotone approximation; linear convergence;

D O I：

10.1016/S0096-3003(99)00002-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We develop a monotone approximation, based on upper and lower solutions technique, for solving a nonlinear nonautonomous size-structured model with competition between individuals. Such an approximation results in the existence and uniqueness of the solution for the model problem. It also provides a practicable and efficient numerical scheme. Furthermore, we establish a first order convergence result and present a numerical example. (C) 2000 Elsevier Science Inc. All rights reserved.

引用

页码：103 / 113

页数：11

共 11 条

[1] A monotone approximation for the nonautonomous size-structured population model [J].