The Periodic Predator-Prey Model with Impulsive Effect

被引：0
|
作者：
Wu, Wen [1 ]
Tang, Sanyi [1 ]
机构：
[1] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Shaanxi, Peoples R China
来源：
PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II | 2010年
关键词：
predator-prey; impulse; pest-free periodic solution; global stability;
D O I：
暂无
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, nonautonomous periodic predator-prey system with impulsive effect is investigated. The threshold value R-0 which determines the dynamical behavior of the model is provided. Furthermore, we prove that the pest-free periodic solution is globally stable if R-0 < 1; the pest-free periodic solution is unstable and the pest will be uniform persistent when R-0 > 1.
引用
收藏
页码：342 / 345
页数：4
相关论文
共 50 条
  • [31] 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
  • [32] Analysis of a predator-prey model with impulsive diffusion and releasing on predator population
    Zhou, Airen
    Sattayatham, Pairote
    Jiao, Jianjun
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2016, : 1 - 18
  • [33] EFFECTS OF PERIODIC INCREASE OF PREY POPULATION IN A PREDATOR-PREY MODEL
    Matyas, Laszlo
    Neagu, Elvira
    Vajda, Attila
    [J]. ENVIRONMENTAL ENGINEERING AND MANAGEMENT JOURNAL, 2015, 14 (04): : 851 - 854
  • [34] Periodic solutions of a predator-prey model with stage structure for predator
    Xu, R
    Chaplain, MAJ
    Davidson, FA
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 154 (03) : 847 - 870
  • [35] Periodic Solutions for a Predator-Prey Model with Periodic Harvesting Rate
    Tang, Yilei
    Xiao, Dongmei
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2014, 24 (07):
  • [36] Dynamics of a Beddington-DeAngelis Type Predator-Prey Model with Impulsive Effect
    Sun Shulin
    Guo Cuihua
    [J]. JOURNAL OF MATHEMATICS, 2013, 2013
  • [37] Existence and stability of periodic solution of a predator-prey model with state-dependent impulsive effects
    Nie, Linfei
    Teng, Zhidong
    Hu, Lin
    Peng, Jigen
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 2009, 79 (07) : 2122 - 2134
  • [38] Impulsive periodic oscillation for a predator-prey model with Hassell-Varley-Holling functional response
    Liu, Xiuxiang
    [J]. APPLIED MATHEMATICAL MODELLING, 2014, 38 (04) : 1482 - 1494
  • [39] 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
  • [40] The Existence and Simulations of Periodic Solutions of a Leslie-Gower Predator-Prey Model with Impulsive Perturbations
    Wang, Kaihua
    Gui, Zhanji
    [J]. INFORMATION COMPUTING AND APPLICATIONS, PT II, 2011, 244 : 104 - 112
12345