NUMERICAL ANALYSIS OF STABILITY FOR A NONLINEAR SIZE-STRUCTURED POPULATION MODEL WITH ELASTIC GROWTH

被引：1
|
作者：
Wang, Shu-Ping [1 ]
Wu, Peng [1 ]
He, Ze-Rong [1 ]
机构：
[1] Hangzhou Dianzi Univ, Inst Operat Res & Cybernet, Hangzhou 310018, Zhejiang, Peoples R China
来源：
COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE | 2019年
基金：
中国国家自然科学基金;
关键词：
size-structure; elastic growth; upwind difference; convergence; stability; SCHEME; APPROXIMATION; EQUATION;
D O I：
10.28919/cmbn/3930
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This article is concerned with an upwind difference scheme for a nonlinear size-dependent population model, into which an elastic growth is incorporated; that is, a decrease of size is possible. We make a through analysis of convergence for the numerical method, and use it as an auxiliary tool in the investigation of stability of population steady states. Two examples are presented.
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页数：15
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