A monotone approximation for the nonautonomous size-structured population model

被引：13

作者：

Ackleh, AS ^{[1
]}

Deng, K ^{[1
]}

机构：

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

来源：

QUARTERLY OF APPLIED MATHEMATICS | 1999年 / 57卷 / 02期

关键词：

nonlocal nonautonomous problem of hyperbolic type; comparison principle; monotone approximation method; linear convergence;

D O I：

10.1090/qam/1686189

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we develop a monotone approximation method, based on an upper and lower solutions technique, for solving the nonautonomous size-structured model. Such a technique results in the existence and uniqueness of solutions for this equation. Furthermore, we establish a first-order convergence of the method and present a numerical example.

引用

页码：261 / 267

页数：7

共 10 条

[1] BANKS HT, 1991, INT S NUM M, V100, P35
[2] TRANSFORMATION SEMIGROUPS AND L1-APPROXIMATION FOR SIZE STRUCTURED POPULATION-MODELS
BANKS, HT
KAPPEL, F
[J]. SEMIGROUP FORUM, 1989, 38 (02) : 141 - 155
[3] COURANT R, 1962, METHODS MATH PHYSICS, V2
[4] de Roos A. M., 1988, Numer. Methods Partial Diff. Eq., V4, P173, DOI [DOI 10.1002/NUM.1690040303, 10.1002/num.1690040303]
[5] EFFECTS OF GROWTH-RATES IN MODELS OF SIZE DISTRIBUTION FORMATION IN PLANTS AND ANIMALS
DEANGELIS, DL
HUSTON, MA
[J]. ECOLOGICAL MODELLING, 1987, 36 (1-2) : 119 - 137
[6] IMPLICATIONS OF A PARTIAL-DIFFERENTIAL-EQUATION COHORT MODEL
DEANGELIS, DL
MATTICE, JS
[J]. MATHEMATICAL BIOSCIENCES, 1979, 47 (3-4) : 271 - 285
[7] A FULLY DISCRETIZED APPROXIMATION SCHEME FOR SIZE-STRUCTURED POPULATION-MODELS
ITO, K
KAPPEL, F
PEICHL, G
[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 1991, 28 (04) : 923 - 954
[8] Ladde GS., 1985, MONOTONE ITERATIVE T
[9] A NEW MODEL FOR AGE-SIZE STRUCTURE OF A POPULATION
SINKO, JW
STREIFER, W
[J]. ECOLOGY, 1967, 48 (06) : 910 - +
[10] ANALYSIS OF A DISTRIBUTED-PARAMETER POPULATION MODEL BASED ON PHYSIOLOGICAL AGE
VANSICKLE, J
[J]. JOURNAL OF THEORETICAL BIOLOGY, 1977, 64 (03) : 571 - 586

← 1 →