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.
引用
收藏
页数：15
相关论文
共 50 条
  • [1] Stability of a class of nonlinear hierarchical size-structured population model
    Chen, Weicheng
    Wang, Zhanping
    MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2022, 19 (10) : 10143 - 10159
  • [2] SENSITIVITY ANALYSIS FOR A NONLINEAR SIZE-STRUCTURED POPULATION MODEL
    Deng, Keng
    Wang, Yi
    QUARTERLY OF APPLIED MATHEMATICS, 2015, 73 (03) : 401 - 417
  • [3] Numerical integration of nonlinear size-structured population equations
    Angulo, O
    López-Marcos, JC
    ECOLOGICAL MODELLING, 2000, 133 (1-2) : 3 - 14
  • [4] STABILITY ANALYSIS FOR A SIZE-STRUCTURED JUVENILE-ADULT POPULATION MODEL
    Fu, Xianlong
    Zhu, Dongmei
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2014, 19 (02): : 391 - 417
  • [5] Numerical integration of fully nonlinear size-structured population models
    Angulo, O
    López-Marcos, JC
    APPLIED NUMERICAL MATHEMATICS, 2004, 50 (3-4) : 291 - 327
  • [6] Stability and regularity results for a size-structured population model
    Farkas, Jozsef Z.
    Hagen, Thomas
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (01) : 119 - 136
  • [7] Bifurcation Analysis of a Size-Structured Population Model
    Cai, Yuting
    Wang, Chuncheng
    Fan, Dejun
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, 32 (13):
  • [8] A monotone approximation for a nonlinear nonautonomous size-structured population model
    Ackleh, AS
    Deng, K
    APPLIED MATHEMATICS AND COMPUTATION, 2000, 108 (2-3) : 103 - 113
  • [9] On a size-structured population dynamics model
    Nikol'skii, M. S.
    DIFFERENTIAL EQUATIONS, 2014, 50 (01) : 132 - 134
  • [10] Solutions of Nonlinear Size-structured Population Models
    Liu, Keying
    Li, Peng
    Liu, Anping
    PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 180 - 183
12345