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
  • [21] Global Stability of a Predator-Prey System with Stage Structure for the Predator
    Yan Ni Xiao
    Lan Sun Chen
    Acta Mathematica Sinica, 2004, 20 : 63 - 70
  • [22] Permanence and stability of a predator-prey system with stage structure for predator
    Cai, Liming
    Song, Xinyu
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 201 (02) : 356 - 366
  • [23] Global Property in a Delayed Periodic Predator-Prey Model with Stage-Structure in Prey and Density-Independence in Predator
    Fan, Xiaolin
    Teng, Zhidong
    Jiang, Haijun
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [24] Dynamics Properties of a Delayed Stage-structure Predator-prey System with Biological Control Strategy
    Li, Ang
    Xu, Dongfang
    Song, Yan
    2016 INTERNATIONAL CONFERENCE ON INFORMATION ENGINEERING AND COMMUNICATIONS TECHNOLOGY (IECT 2016), 2016, : 66 - 71
  • [25] PREDATOR-PREY SYSTEM WITH STAGE STRUCTURE AND DELAY
    Ye Kaili Song XinyuDept. of Math.
    Applied Mathematics:A Journal of Chinese Universities, 2003, (02) : 143 - 150
  • [26] Predator-prey system with stage structure and delay
    Kaili Ye
    Xinyu Song
    Applied Mathematics-A Journal of Chinese Universities, 2003, 18 (2) : 143 - 150
  • [27] Permanence of predator-prey system with stage structure
    Cui, JA
    Song, XY
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2004, 4 (03): : 547 - 554
  • [28] 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
  • [29] A Stage-Structure Predator-Prey Model with Ratio-Dependent Functional Response and Anti-Predator
    Apriyani, A.
    Darti, I
    Suryanto, A.
    PROCEEDINGS OF THE SYMPOSIUM ON BIOMATHEMATICS (SYMOMATH) 2018, 2019, 2084
  • [30] Global Stability for a Delayed Predator-Prey System with Stage Structure for the Predator
    Zhang, Xiao
    Xu, Rui
    Gan, Qintao
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2009, 2009