NOTE ON THE STABILITY PROPERTY OF THE VANISHING EQUILIBRIUM POINT OF AN ECOLOGICAL SYSTEM CONSISTING OF A PREDATOR AND STAGE STRUCTURE PREY

被引:0
|
作者
Xiaoyan Huang [1 ]
Fengde Chen [1 ]
机构
[1] College of Math.and Computer Science, Fuzhou University
基金
中国国家自然科学基金;
关键词
stage structure; predator-prey; global stability;
D O I
暂无
中图分类号
O175 [微分方程、积分方程];
学科分类号
070104 ;
摘要
We revisit the stability property of an ecological system consisting of a predator and stage structure prey which was proposed by Raid Kamel Naji and Salam Jasim Majeed. By constructing some suitable Lyapunov function and applying the differential inequality theory, we show that the conditions which ensure the local stability of the vanishing point are enough to ensure its global stability. Our result supplements and complements some known results.
引用
收藏
页码:139 / 144
页数:6
相关论文
共 50 条
  • [41] Stability and Hopf bifurcation of a predator–prey model with stage structure and time delay for the prey
    Yan Song
    Wen Xiao
    Xiaoyu Qi
    Nonlinear Dynamics, 2016, 83 : 1409 - 1418
  • [42] A predator-prey system with stage-structure for predator and nonlocal delay
    Lin, Zhigui
    Pedersen, Michael
    Zhang, Lai
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 2019 - 2030
  • [43] Chaos in a Predator-Prey System with Impulsive Perturbations and Stage Structure for the Predator
    Zhang, Bin
    Shi, Shuai
    Liu, Woye
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2009, 2009
  • [44] Stationary distribution of a stochastic predator-prey system with stage structure for prey
    Zhao, Xin
    Zeng, Zhijun
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 545
  • [45] Dynamic Behavior of a Predator-prey System with Stage-structure for Prey
    ZHANG Jia-fang~1 ZHANG Zhi-ping~2 (1.School of Mathematics and Statistics
    2.College of Mathematics and Information Science
    Institute of Applied Mathematics
    数学季刊, 2007, (01) : 29 - 37
  • [46] Ratio-dependent predator-prey system with stage structure for prey
    Song, XY
    Cai, LM
    Neumann, AU
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2004, 4 (03): : 747 - 758
  • [47] Dynamical behavior of a predator–prey system with two delays and stage structure for the prey
    Ang Li
    Yan Song
    Dongfang Xu
    Nonlinear Dynamics, 2016, 85 : 2017 - 2033
  • [48] Hopf Bifurcation of a Predator-Prey System with Delays and Stage Structure for the Prey
    Zhang, Zizhen
    Yang, Huizhong
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
  • [49] Global stability and bifurcation analysis of a delay induced prey-predator system with stage structure
    Chakraborty, Kunal
    Haldar, Samadyuti
    Kar, T. K.
    NONLINEAR DYNAMICS, 2013, 73 (03) : 1307 - 1325
  • [50] Stability and Hopf bifurcation in a ratio-dependent predator-prey system with stage structure
    Xu, Rui
    Ma, Zhien
    CHAOS SOLITONS & FRACTALS, 2008, 38 (03) : 669 - 684