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

页码：291 / 327

页数：37

共 27 条

[1] Abia L. M., 1997, Journal of Biological Systems, V5, P1, DOI 10.1142/S0218339097000023
[2] On the numerical integration of non-local terms for age-structured population models
Abia, LM
López-Marcos, JC
[J]. MATHEMATICAL BIOSCIENCES, 1999, 157 (1-2) : 147 - 167
[3] ABIA LM, 2004, DISCRETE CONTIN DYN, V4
[4] Monotone scheme for nonlinear first-order hyperbolic initial-boundary value problems
Ackleh, AS
Deng, K
[J]. APPLIED MATHEMATICS LETTERS, 2000, 13 (05) : 111 - 119
[5] An implicit finite difference scheme for the nonlinear size-structured population model
Ackleh, AS
Ito, K
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1997, 18 (9-10) : 865 - 884
[6] A finite difference approximation for a coupled system of nonlinear size-structured populations
Ackleh, AS
Banks, HT
Deng, K
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 50 (06) : 727 - 748
[7] A monotone approximation for a nonlinear nonautonomous size-structured population model
Ackleh, AS
Deng, K
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2000, 108 (2-3) : 103 - 113
[8] Numerical integration of autonomous and non-autonomous non-linear size-structured population models
Angulo, O
López-Marcos, JC
[J]. MATHEMATICAL BIOSCIENCES, 2002, 177 : 39 - 71
[9] Numerical schemes for size-structured population equations
Angulo, O
López-Marcos, JC
[J]. MATHEMATICAL BIOSCIENCES, 1999, 157 (1-2) : 169 - 188
[10] Numerical integration of nonlinear size-structured population equations
Angulo, O
López-Marcos, JC
[J]. ECOLOGICAL MODELLING, 2000, 133 (1-2) : 3 - 14

← 1 2 3 →