GLOBAL DYNAMICS OF NONLINEAR TWO-STAGED AGE-DEPENDENT POPULATIONS

被引：2
|
作者：
He, Ze-Rong [1 ]
机构：
[1] Hangzhou Dianzi Univ, Inst Operat Res & Cybernet, Hangzhou 310018, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2008年 / 1卷 / 04期
关键词：
Population dynamics; age-dependence; stage-structure; age-profiles; Sharp-Lotka theorem;
D O I：
10.1142/S1793524508000394
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
We investigate the global behavior for a population whose members are divided into two classes: juveniles and adults, with mortalities age- and density-dependent. Laplace transforms are used to examine the asymptotic dynamics of age profiles, which describes completely the evolution process of the nonlinear population system. Our result can be viewed as a generalization of Sharp-Lotka theorem in some nonlinear situations.
引用
收藏
页码：449 / 461
页数：13
相关论文
共 50 条
  • [31] The stability of nonlinear age-dependent population equation
    Li, XR
    APPLIED MATHEMATICS LETTERS, 1998, 11 (06) : 19 - 26
  • [32] EFFECT OF FUEL DISTRIBUTION ON SPRAY DYNAMICS IN A TWO-STAGED MULTI-INJECTION BURNER
    Providakis, T.
    Zimmer, L.
    Scouflaire, P.
    Ducruix, S.
    PROCEEDINGS OF THE ASME TURBO EXPO 2011, VOL 2, PTS A AND B, 2011, : 1217 - 1229
  • [33] LOCALIZATION OF AGE-DEPENDENT ANTI-CROWDING POPULATIONS
    HERNANDEZ, GE
    QUARTERLY OF APPLIED MATHEMATICS, 1995, 53 (01) : 35 - 52
  • [34] Age-dependent patterns of spatial autocorrelation in fish populations
    Marquez, Jonatan F.
    Saether, Bernt-Erik
    Aanes, Sondre
    Engen, Steinar
    Salthaug, Are
    Lee, Aline Magdalena
    ECOLOGY, 2021, 102 (12)
  • [35] AGE-DEPENDENT CHANGES IN BLOOD MONOCYTE POPULATIONS IN MAN
    MUNAN, L
    KELLY, A
    CLINICAL AND EXPERIMENTAL IMMUNOLOGY, 1979, 35 (01): : 161 - 162
  • [36] Global dynamics of a tuberculosis model with fast and slow progression and age-dependent latency and infection
    Xu, Rui
    Yang, Junyuan
    Tian, Xiaohong
    Lin, Jiazhe
    JOURNAL OF BIOLOGICAL DYNAMICS, 2019, 13 (01) : 675 - 705
  • [37] Age-dependent population dynamics and translation semigroups
    Alaoui, L
    SEMIGROUP FORUM, 1998, 57 (02) : 186 - 207
  • [38] CONTROLLABILITY IN AGE-DEPENDENT POPULATION-DYNAMICS
    SWART, JH
    SOUTH AFRICAN JOURNAL OF SCIENCE, 1988, 84 (04) : 238 - 240
  • [39] SOME REDUCIBLE MODELS OF AGE-DEPENDENT DYNAMICS
    SWICK, KE
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1985, 45 (02) : 256 - 267
  • [40] Age-dependent population dynamics diffusive systems
    Ainseba, B
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2004, 4 (04): : 1233 - 1247
12345