Dynamic analysis of a stage-structured predator-prey system with disturbed time delay and birth pulse

被引：0
|
作者：
Wang, Weihua [1 ]
Xiong, Zuoliang [1 ]
Wang, Fang [1 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2014年 / 7卷 / 04期
关键词：
Birth pulse; disturbed time delay; stage-structure; prey-predator model; MODEL;
D O I：
10.1142/S1793524514500375
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, a stage-structured predator-prey system with birth pulse and disturbed time delay is investigated. The conditions of the prey-extinction periodic solution of the system which are globally attractive have been obtained. Furthermore, the sufficient conditions for the permanence of the system are established. Finally, numerical analysis is given to confirm the theoretical results.
引用
收藏
页数：16
相关论文
共 50 条
  • [1] A stage-structured predator-prey system with time delay
    Wang L.
    Xu R.
    Feng G.
    [J]. Journal of Applied Mathematics and Computing, 2010, 33 (1-2) : 267 - 281
  • [2] Complexities of a Stage-Structured Predator-Prey System with Time Delay
    Wang, Lingshu
    Feng, Guanghui
    [J]. PROCEEDINGS OF 2009 CONFERENCE ON SYSTEMS SCIENCE, MANAGEMENT SCIENCE & SYSTEM DYNAMICS, VOL 7, 2009, : 25 - 29
  • [3] Analysis of a stage-structured predator-prey system with birth pulse and impulsive harvesting at different moments
    Jiao, Jianjun
    Cai, Shaohong
    Chen, Lansun
    [J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2011, 12 (04) : 2232 - 2244
  • [4] The asymptotic behaviors of a stage-structured autonomous predator-prey system with time delay
    Ou, LM
    Luo, GL
    Jiang, YL
    Li, YP
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2003, 283 (02) : 534 - 548
  • [5] Bifurcation Analysis for A Stage-Structured Predator-Prey System
    Feng, Guanghui
    Xu, Rui
    Wang, Lingshu
    [J]. PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 79 - 82
  • [6] A Stage-structured Predator-prey Model with Disturbing Pulse and Time Delays
    Cheng, Huidong
    Meng, Xinzhu
    [J]. PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 853 - 856
  • [7] A stage-structured predator-prey model with disturbing pulse and time delays
    Song, Xinyu
    Hao, Meiying
    Meng, Xinzhu
    [J]. APPLIED MATHEMATICAL MODELLING, 2009, 33 (01) : 211 - 223
  • [8] Time Delayed Stage-Structured Predator-Prey Model with Birth Pulse and Pest Control Tactics
    Yan, Mei
    Li, Yongfeng
    Xiang, Zhongyi
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [9] Permanence of a stage-structured predator-prey system
    Chen, Fengde
    Chen, Wanlin
    Wu, Yumin
    Ma, Zhaozhi
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (17) : 8856 - 8862
  • [10] A STAGE-STRUCTURED AND HARVESTING PREDATOR-PREY SYSTEM
    Liujuan Chen (Ministry of Science Training
    [J]. Annals of Applied Mathematics, 2011, (03) : 293 - 301
12345