A predator-prey system with stage-structure for predator

被引:323
|
作者
Wang, WD [1 ]
Chen, LS [1 ]
机构
[1] ACAD SINICA,MATH INST,BEIJING 100080,PEOPLES R CHINA
基金
中国国家自然科学基金;
关键词
permanence; stability; periodic; stage structure; population;
D O I
10.1016/S0898-1221(97)00056-4
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper studies the asymptotic behavior of a predator-prey model with stage structure. It is found that an orbitally asymptotically stable periodic- orbit exists in that model. When time delay due to gestation of predator and time delay from crowding effect of prey are incorporated, we establish the condition for the permanence of populations and sufficient conditions under which positive equilibrium of the model is globally stable.
引用
收藏
页码:83 / 91
页数:9
相关论文
共 50 条
  • [1] Predator-prey system with stage-structure for predator
    Wang, Wendi
    Chen, Lansun
    Computers and Mathematics with Applications, 1997, 33 (08): : 83 - 91
  • [2] 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
  • [3] 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
  • [4] Dynamical Analysis in a Delayed Predator-Prey System with Stage-Structure for Both the Predator and the Prey
    Zhang, Zizhen
    Yang, Huizhong
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2014, 2014
  • [5] Bifurcation analysis in a predator-prey system with stage-structure and harvesting
    Qu, Ying
    Wei, Junjie
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (07): : 1097 - 1113
  • [6] Bifurcation and stability analysis in predator-prey model with a stage-structure for predator
    Sun, Xiao-Ke
    Huo, Hai-Feng
    Xiang, Hong
    NONLINEAR DYNAMICS, 2009, 58 (03) : 497 - 513
  • [7] Permanence of a Holling type II predator-prey system with stage-structure
    Sun, Xiaoke
    Huo, Haifeng
    Zhang, Xiaobing
    Fu, Qiang
    PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 598 - 602
  • [8] The global stability of a delayed predator-prey system with two stage-structure
    Wang, Fengyan
    Pang, Guoping
    CHAOS SOLITONS & FRACTALS, 2009, 40 (02) : 778 - 785
  • [9] The effect of stage-structure on the permanence of a predator-prey system with time delay
    Xu, Rui
    Ma, Zhien
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (02) : 1164 - 1177
  • [10] Mathematical Scrutiny of Singular Predator-Prey Model with Stage-Structure of Prey
    Yadav, U.
    Nayak, A. K.
    Gakkhar, S.
    ACTA APPLICANDAE MATHEMATICAE, 2024, 189 (01)