Monotone approximation for a hierarchical age-structured population model

被引：0
|
作者：
Ackleh, AS [1 ]
Deng, K [1 ]
机构：
[1] Univ SW Louisiana, Dept Math, Lafayette, LA 70504 USA
来源：
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS | 2005年 / 12卷 / 02期
关键词：
hierarchical age-structured population model; monotone approximation; existence-uniqueness; extinction; persistence;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a nonlinear hierarchical age-structured population model with time dependent individual vital rates. We establish a comparison principle and construct monotone sequences to show the existence and uniqueness of the solution to the model. We also provide conditions on the model parameters which result in extinction or persistence of the population.
引用
收藏
页码：203 / 214
页数：12
相关论文
共 50 条
  • [41] NUMERICAL-SOLUTIONS OF THE AGE-STRUCTURED POPULATION-MODEL
    KOSTOVA, T
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1989, 69 (04): : T168 - T170
  • [42] On a periodic age-structured mosquito population model with spatial structure
    Lv, Yunfei
    Pei, Yongzhen
    Yuan, Rong
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2021, 61
  • [43] On age-structured SIS epidemic model for time dependent population
    Zhang Shenghai
    Acta Mathematicae Applicatae Sinica, 1999, 15 (1) : 45 - 53
  • [44] Analysis of a nonlinear age-structured tumor cell population model
    Zijian Liu
    Chunfang Guo
    Hong Li
    Leina Zhao
    Nonlinear Dynamics, 2019, 98 : 283 - 300
  • [45] A stochastic continuous-time age-structured population model
    Chowdhury, M
    Allen, EJ
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 47 (03) : 1477 - 1488
  • [46] Dynamics of an age-structured tumor cell population model with nutrition
    Liu, Chunhua
    Liu, Xianning
    Wang, Yan
    Wei, Yangjiang
    NONLINEAR DYNAMICS, 2024, 112 (21) : 19561 - 19587
  • [47] SPATIAL DYNAMICS OF AN AGE-STRUCTURED POPULATION MODEL OF ASIAN CLAMS
    Fang, Jian
    Lan, Kunquan
    Seo, Gunog
    Wu, Jianhong
    SIAM JOURNAL ON APPLIED MATHEMATICS, 2014, 74 (04) : 959 - 979
  • [48] The age-structured lottery model
    Dewi, S
    Chesson, P
    THEORETICAL POPULATION BIOLOGY, 2003, 64 (03) : 331 - 343
  • [49] ASYMPTOTIC BEHAVIOUR FOR A NONLINEAR AGE-STRUCTURED POPULATION MODEL WITH DIFFUSION
    Tarniceriu, Oana Carmen
    ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, 2008, 54 (02): : 417 - 428
  • [50] Age-structured population models with genetics
    Dudek, Miroslaw R.
    Nadzieja, Tadeusz
    FROM GENETICS TO MATHEMATICS, 2009, 79 : 149 - 172
12345