Stability with Impulsive Delay Predator-Prey System

被引:0
|
作者
Han, Jinghua [1 ]
Liu, Gang [1 ]
机构
[1] Shenyang Aerosp Univ, Sch Sci, Shenyang, Peoples R China
关键词
Predator-prey model; impulsive differential equations; asymptotic stability; GROWTH; MODEL;
D O I
暂无
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, we research the impulsive delay predator-prey system with stage structure; we consider two species predator-prey model with stage structure for prey and impulsive effect for predator. By some techniques of comparison theorems of impulsive differential equations, we obtain the conditions for global asymptotic stability of periodic solution of this system.
引用
收藏
页码:777 / 782
页数:6
相关论文
共 50 条
  • [31] Testing for stability in a predator-prey system
    Solow, AR
    Sherman, K
    [J]. ECOLOGY, 1997, 78 (08) : 2624 - 2627
  • [32] Dynamic Complexities of A Ratio-Dependent Predator-Prey System with Delay and Impulsive Perturbations
    Shi, Shuai
    Xu, Rui
    Gan, Qintao
    [J]. PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 87 - 92
  • [33] Extinction and Permanence of a Predator-prey System with Impulsive Control
    Song, Yan
    Xiao, Wen
    Gao, Yajun
    Qi, Xiaoyu
    [J]. PROCEEDINGS OF THE 2015 INTERNATIONAL CONFERENCE ON MODELING, SIMULATION AND APPLIED MATHEMATICS, 2015, 122 : 390 - 393
  • [34] Existence and global stability of periodic solution for impulsive predator-prey model with diffusion and distributed delay
    Zhao Z.
    Li Z.
    Chen L.
    [J]. Journal of Applied Mathematics and Computing, 2010, 33 (1-2) : 389 - 410
  • [35] PERMANENCE OF PREDATOR-PREY SYSTEM WITH INFINITE DELAY
    Cui, Jingan
    Sun, Yonghong
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2004,
  • [36] Delay induced oscillations in predator-prey system
    Lin, Guojian
    Hong, Yiguang
    [J]. 2006 CHINESE CONTROL CONFERENCE, VOLS 1-5, 2006, : 689 - +
  • [37] Analysis of a Predator-Prey System Concerning Impulsive Effect
    Wang, Lingshu
    Feng, Guanghui
    [J]. 2009 INTERNATIONAL WORKSHOP ON CHAOS-FRACTALS THEORIES AND APPLICATIONS (IWCFTA 2009), 2009, : 93 - +
  • [38] Analysis of a Delayed Predator-Prey System with Impulsive Effect
    Feng, Guanghui
    Xu, Rui
    Wang, Lingshu
    [J]. ICMS2010: PROCEEDINGS OF THE THIRD INTERNATIONAL CONFERENCE ON MODELLING AND SIMULATION, VOL 4: MODELLING AND SIMULATION IN BIOLOGY, ECOLOGY & ENVIRONMENT, 2010, : 183 - 187
  • [39] Analysis of a Class of Predator-prey System with Impulsive Effect
    Lu, Kun
    [J]. 2012 THIRD INTERNATIONAL CONFERENCE ON TELECOMMUNICATION AND INFORMATION (TEIN 2012), 2012, : 234 - 240
  • [40] PREDATOR-PREY SYSTEM WITH STAGE STRUCTURE AND DELAY
    Ye Kaili Song XinyuDept. of Math.
    [J]. Applied Mathematics:A Journal of Chinese Universities, 2003, (02) : 143 - 150