Asymptotic behaviour of a model of hierarchically structured population dynamics

被引：0
|
作者：
Àngel Calsina
Joan Saldaña
机构：
[1] Departament de Matemàtiques,
[2] Universitat Autònoma de Barcelona,undefined
[3] E-08193 Bellaterra,undefined
[4] Barcelona,undefined
[5] Spain (e-mail: calsina@mat.uab.es),undefined
来源：
Journal of Mathematical Biology | 1997年 / 35卷
关键词：
Key words: Rank competition; Structured population dynamics; Asymptotic behaviour;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
 A hierarchically structured population model with a dependence of the vital rates on a function of the population density (environment) is considered. The existence, uniqueness and the asymptotic behaviour of the solutions is obtained transforming the original non-local PDE of the model into a local one. Under natural conditions, the global asymptotical stability of a nontrivial equilibrium is proved. Finally, if the environment is a function of the biomass distribution, the existence of a positive total biomass equilibrium without a nontrivial population equilibrium is shown.
引用
收藏
页码：967 / 987
页数：20
相关论文
共 50 条
  • [1] Asymptotic behaviour of a model of hierarchically structured population dynamics
    Calsina, A
    Saldana, J
    JOURNAL OF MATHEMATICAL BIOLOGY, 1997, 35 (08) : 967 - 987
  • [2] Asymptotic behaviour of a structured population model
    Pichor, Katarzyna
    MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (5-6) : 1240 - 1249
  • [3] Asymptotic behaviour of a semilinear age-structured population model with a dynamics for the resource
    Calsina, A
    El Idrissi, O
    MATHEMATICAL AND COMPUTER MODELLING, 2002, 35 (3-4) : 403 - 427
  • [4] 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
  • [5] A discrete, hierarchically-structured population model
    Jang, SRJ
    PROCEEDINGS OF DYNAMIC SYSTEMS AND APPLICATIONS, VOL 4, 2004, : 403 - 408
  • [6] QST in a hierarchically structured population
    Whitlock, Michael C.
    Gilbert, Kimberly J.
    MOLECULAR ECOLOGY RESOURCES, 2012, 12 (03) : 481 - 483
  • [7] Chapman-Enskog asymptotic procedure in structured population dynamics
    Banasiak, J.
    Shindin, S.
    NUOVO CIMENTO C-COLLOQUIA AND COMMUNICATIONS IN PHYSICS, 2010, 33 (01): : 31 - 38
  • [8] Asymptotic Behaviors of a Size-structured Population Model
    Xian-long FU
    Qiong WU
    ActaMathematicaeApplicataeSinica, 2017, 33 (04) : 1025 - 1042
  • [9] Asymptotic behaviors of a size-structured population model
    Xian-long Fu
    Qiong Wu
    Acta Mathematicae Applicatae Sinica, English Series, 2017, 33 : 1025 - 1042
  • [10] Asymptotic Behaviors of a Size-structured Population Model
    Fu, Xian-long
    Wu, Qiong
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2017, 33 (04): : 1025 - 1042
12345