Permanence for the Michaelis-Menten type discrete three-species ratio-dependent food chain model with delay

被引：10
|
作者：
Dai, Binxiang [1 ]
Zhang, Na
Zou, Jiezhong
机构：
[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410075, Hunan, Peoples R China
[2] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 324卷 / 01期
基金：
中国国家自然科学基金;
关键词：
ratio-dependent; permanence; discrete predator-prey model;
D O I：
10.1016/j.jmaa.2005.12.060
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A discrete three trophic level food chain model with ratio-dependent Michaelis-Menten type functional response is investigated. It is shown that under some appropriate conditions the system is permanent. The results indicate that, to make the species coexist in the long run, it is a surefire strategy to keep the death rate of the predator and top predator rather small and the intrinsic growth rate of the prey relatively large. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：728 / 738
页数：11
相关论文
共 50 条
  • [41] Dynamics of a three-species food chain model with adaptive traits
    Sun, Chengjun
    Loreau, Michel
    CHAOS SOLITONS & FRACTALS, 2009, 41 (05) : 2812 - 2819
  • [42] Dynamical behavior of a fractional three-species food chain model
    Alidousti, J.
    Ghahfarokhi, M. Mostafavi
    NONLINEAR DYNAMICS, 2019, 95 (03) : 1841 - 1858
  • [43] An improved result for a three-species spatial food chain model
    Liu, Changchun
    Yan, Dongze
    APPLIED MATHEMATICS LETTERS, 2024, 151
  • [44] Global dynamics of a three-species spatial food chain model
    Jin, Hai-Yang
    Wang, Zhi-An
    Wu, Leyun
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 333 : 144 - 183
  • [45] Dynamics of a three-species food chain model with fear effect
    Cong, Pingping
    Fan, Meng
    Zou, Xingfu
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2021, 99 (99):
  • [46] THREE-SPECIES FOOD CHAIN MODEL WITH CANNIBALISM IN THE SECOND LEVEL
    Abdulghafour, Ahmed Sami
    Naji, Raid Kamel
    COMMUNICATIONS IN MATHEMATICAL BIOLOGY AND NEUROSCIENCE, 2023,
  • [47] Dynamical behavior of a fractional three-species food chain model
    J. Alidousti
    M. Mostafavi Ghahfarokhi
    Nonlinear Dynamics, 2019, 95 : 1841 - 1858
  • [48] Permanence for a delayed discrete ratio-dependent predator-prey model with monotonic functional responses
    Yang, Wensheng
    Li, Xuepeng
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2009, 10 (02) : 1068 - 1072
  • [49] Dynamical properties of single species stage structured model with Michaelis-Menten type harvesting on adult population and linear on
    Akter, Saima
    Islam, Md. Shariful
    Hossain, Touhid
    HELIYON, 2023, 9 (05)
  • [50] Dynamics of a non-autonomous ratio-dependent food chain model
    Zeng, Zhijun
    APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (03) : 1274 - 1287
12345