Global attractivity in a "food-limited" population model with impulsive effects

被引:55
|
作者
Tang, SY [1 ]
Chen, LS
机构
[1] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England
[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1016/j.jmaa.2003.11.061
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Sufficient conditions are obtained for the global attractivity of the positive equilibrium of the delay-logistic equation with impulsive effect N(t) = r(t)N(t)[K-N-p(t-tau)/K+c(t)N-p(t-tau)], N(tau(k)(+))=N(tau(k))exp(I-k(ln(N(tau(k))/(p)rootK))), where r (t), c(t) are continuous functions, p, K, tau are positive constants, and {tau(k)}(infinity)(k=1) denotes the sequence of impulsive time which assumed to be strictly increasing. Some special cases are also considered. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:211 / 221
页数:11
相关论文
共 50 条
  • [41] Periodic Solutions of a Stochastic Food-Limited Mutualism Model
    Xinhong Zhang
    Daqing Jiang
    [J]. Methodology and Computing in Applied Probability, 2020, 22 : 267 - 278
  • [42] Stability and Neimark-Sacker bifurcation analysis of a food-limited population model with a time delay
    Jiang Xiao-Wei
    Guan Zhi-Hong
    Zhang Xian-He
    Zhang Ding-Xue
    Liu Feng
    [J]. CHINESE PHYSICS B, 2013, 22 (03)
  • [43] Stability and Neimark-Sacker bifurcation analysis of a food-limited population model with a time delay
    姜晓伟
    关治洪
    张先鹤
    张顶学
    刘峰
    [J]. Chinese Physics B, 2013, (03) : 71 - 75
  • [44] Global attractivity of a single species population model
    Zhanyuan Hou
    J.S. Cassell
    [J]. Nonlinear Differential Equations and Applications NoDEA, 1998, 5 : 167 - 180
  • [45] Hopf bifurcation in a delayed food-limited model with feedback control
    Zhong Li
    Mengxin He
    [J]. Nonlinear Dynamics, 2014, 76 : 1215 - 1224
  • [46] Global attractivity of a single species population model
    Hou, Zhanyuan
    Cassell, J. S.
    [J]. NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 1998, 5 (02): : 167 - 180
  • [47] Global attractivity and persistence in a discrete population model
    Györi, I
    Trofimchuk, SI
    [J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2000, 6 (06) : 647 - 665
  • [48] Hopf bifurcation in a delayed food-limited model with feedback control
    Li, Zhong
    He, Mengxin
    [J]. NONLINEAR DYNAMICS, 2014, 76 (02) : 1215 - 1224
  • [49] Bifurcation analysis in a diffusive 'food-limited' model with time delay
    Su, Ying
    Wan, Aying
    Wei, Junjie
    [J]. APPLICABLE ANALYSIS, 2010, 89 (07) : 1161 - 1181
  • [50] FOOD-LIMITED GROWTH OF MARINE ZOOPLANKTON
    HUNTLEY, M
    BOYD, C
    [J]. AMERICAN NATURALIST, 1984, 124 (04): : 455 - 478