Solutions of Nonlinear Size-structured Population Models

被引：0
|
作者：
Liu, Keying [1 ]
Li, Peng [1 ]
Liu, Anping
机构：
[1] N China Univ Water Resources & Elect Power, Dept Math, Zhengzhou 450045, Peoples R China
来源：
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II | 2010年
关键词：
solutions; characteristics; size-structured population model; DYNAMICS;
D O I：
暂无
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We are concerned with a nonlinear size-structured population model with the vital rates depending both on the individuals' size and on the total population. By the method of characteristics, we prove the existence and uniqueness of solution.
引用
收藏
页码：180 / 183
页数：4
相关论文
共 50 条
  • [41] SENSITIVITY EQUATIONS FOR A SIZE-STRUCTURED POPULATION MODEL
    Banks, H. T.
    Ernstberger, Stacey L.
    Hu, Shuhua
    QUARTERLY OF APPLIED MATHEMATICS, 2009, 67 (04) : 627 - 660
  • [42] Asymptotic behaviors of a size-structured population model
    Xian-long Fu
    Qiong Wu
    Acta Mathematicae Applicatae Sinica, English Series, 2017, 33 : 1025 - 1042
  • [43] Linear Size-structured Population Models with Spacial Diffusion and Optimal Harvesting Problems
    Kato, N.
    MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2014, 9 (04) : 122 - 130
  • [44] Asymptotic Behaviors of a Size-structured Population Model
    Xian-long FU
    Qiong WU
    ActaMathematicaeApplicataeSinica, 2017, 33 (04) : 1025 - 1042
  • [45] One model of size-structured population dynamics
    M. S. Nikol’skii
    Proceedings of the Steklov Institute of Mathematics, 2014, 287 : 128 - 133
  • [46] On the optimal harvesting of size-structured population dynamics
    Yan Liu
    Xiao-liang Cheng
    Ze-rong He
    Applied Mathematics-A Journal of Chinese Universities, 2013, 28 : 173 - 186
  • [47] One model of size-structured population dynamics
    Nikol'skii, M. S.
    TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2013, 19 (04): : 175 - 180
  • [48] One Model of Size-Structured Population Dynamics
    Nikol'skii, M. S.
    PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2014, 287 : S128 - S133
  • [49] Bifurcation Analysis of a Size-Structured Population Model
    Cai, Yuting
    Wang, Chuncheng
    Fan, Dejun
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, 32 (13):
  • [50] Optimization of size-structured population with interacting species
    Panesh A.A.
    Platov A.S.
    Journal of Mathematical Sciences, 2013, 188 (3) : 293 - 298
12345