Periodic solution for a three-species Lotka-Volterra food-chain model with time delays

被引：6
|
作者：
Rui, X [1 ]
Chaplain, MAJ
Davidson, FA
机构：
[1] Shijiazhuang Mech Engn Coll, Dept Math, Shijiazhuang 050003, Peoples R China
[2] Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland
来源：
MATHEMATICAL AND COMPUTER MODELLING | 2004年 / 40卷 / 7-8期
关键词：
food-chain model; time delay; periodic solution; coincidence degree; global stability;
D O I：
10.1016/j.mcm.2004.10.011
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A delayed three-species periodic Lotka-Volterra food-chain model without instantaneous negative feedback is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by constructing a suitable Lyapunov functional, a set of easily verifiable sufficient conditions are derived for the existence, uniqueness, and global stability of positive periodic solutions of the system. Computer simulations are presented to illustrate the conclusions. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：823 / 837
页数：15
相关论文
共 50 条
  • [31] Periodic Solutions Of A Three-Species Food Chain Model
    Zhang, Liang
    Zhao, Hai-Feng
    APPLIED MATHEMATICS E-NOTES, 2009, 9 : 47 - 54
  • [32] Qualitative analysis for A Lotka-Volterra model with time delays
    Xu, Changjin
    Zhang, Qiming
    WSEAS Transactions on Mathematics, 2014, 13 (01) : 603 - 6014
  • [33] The almost periodic solution of Lotka-Volterra recurrent neural networks with delays
    Liu, Yiguang
    Liu, Bingbing
    Ling, Sai Ho
    NEUROCOMPUTING, 2011, 74 (06) : 1062 - 1068
  • [34] Turing patterns and long-time behavior in a three-species food-chain model
    Parshad, Rana D.
    Kumari, Nitu
    Kasimov, Asian R.
    Abderrahmane, Hamid Ait
    MATHEMATICAL BIOSCIENCES, 2014, 254 : 83 - 102
  • [35] A GLOBAL STABILITY RESULT FOR AN N-SPECIES LOTKA-VOLTERRA FOOD CHAIN SYSTEM WITH DISTRIBUTED TIME DELAYS
    Saito, Yasuhisa
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2003, : 771 - 777
  • [36] Three-Species Lotka-Volterra Model with Respect to Caputo and Caputo-Fabrizio Fractional Operators
    Khalighi, Moein
    Eftekhari, Leila
    Hosseinpour, Soleiman
    Lahti, Leo
    SYMMETRY-BASEL, 2021, 13 (03): : 1 - 22
  • [37] Non-permanence for three-species Lotka-Volterra cooperative difference systems
    Lu, Guichen
    Lu, Zhengyi
    ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [38] Permanence and almost periodic solutions for an n-species Lotka-Volterra food chain system on time scales
    Liao, Qingshui
    Li, Bing
    Li, Yongkun
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2015, 8 (02)
  • [39] Existence and uniform asymptotic stability of positive almost periodic solutions for three-species Lotka-Volterra competitive system on time scales
    Prasad, K. R.
    Khuddush, Md
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2020, 13 (03)
  • [40] Almost Periodic Solution in a Lotka-Volterra Recurrent Neural Networks with Time-Varying Delays
    Yang, Li
    Li, Zhouhong
    Pang, Liyan
    Zhang, Tianwei
    INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2017, 18 (01) : 19 - 27
12345