A delayed stage-structured predator-prey model with impulsive perturbations on predator

被引：0
|
作者：
Wang, Wei [1 ]
Xiong, Zuoliang [1 ]
Zou, Ling [1 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
来源：
2009 3RD INTERNATIONAL CONFERENCE ON BIOINFORMATICS AND BIOMEDICAL ENGINEERING, VOLS 1-11 | 2009年
关键词：
stage-structured; prey-predator system; impulsive effect; prey-eradication; permanence;
D O I：
暂无
中图分类号：
R318 [生物医学工程];
学科分类号：
0831 ;
摘要：
In this paper, a delayed stage-structured predator-prey model with the immature prey are taken care of by their parents and biological control strategies (that is releasing natural enemies at different fixed time) is considered. By using comparison theorem, the existence of the globally asymptotically stable prey-eradication periodic solution when the number of releasing natural enemies more than some critical value is proved. The conditions for the permanence of the system are given. Numerical simulation proved the academic results.
引用
收藏
页码：3068 / 3071
页数：4
相关论文
共 50 条
  • [1] Delayed stage-structured predator-prey model with impulsive perturbations on predator and chemical control on prey
    焦建军
    陈兰荪
    [J]. Applied Mathematics and Mechanics(English Edition), 2007, (12) : 1679 - 1689
  • [2] Delayed stage-structured predator-prey model with impulsive perturbations on predator and chemical control on prey
    Jian-jun Jiao
    Lan-sun Chen
    [J]. Applied Mathematics and Mechanics, 2007, 28 : 1679 - 1689
  • [3] Delayed stage-structured predator-prey model with impulsive perturbations on predator and chemical control on prey
    Jiao Jian-jun
    Chen Lan-sun
    [J]. APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2007, 28 (12) : 1679 - 1689
  • [4] A delayed stage-structured Holling II predator-prey model with mutual interference and impulsive perturbations on predator
    Jiao, Jianjun
    Chen, Lansun
    Cai, Shaohong
    [J]. CHAOS SOLITONS & FRACTALS, 2009, 40 (04) : 1946 - 1955
  • [5] A delayed stage-structured predator-prey model with impulsive stocking on prey and continuous harvesting on predator
    Jiao, Jianjun
    Pang, Guoping
    Chen, Lansun
    Luo, Guilie
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2008, 195 (01) : 316 - 325
  • [6] Dynamics behaviors of a delayed stage-structured predator-prey model with impulsive effect
    Jiang, Xiaowu
    Song, Qiang
    Hao, Meiying
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2010, 215 (12) : 4221 - 4229
  • [7] Complex dynamics of a delayed stage-structured predator-prey model with impulsive effect
    Zhao Z.
    [J]. Journal of Applied Mathematics and Computing, 2014, 45 (1-2) : 183 - 197
  • [8] A delayed predator-prey model with stage structured for the predator and impulsive effect
    Xiang, Zhongyi
    Luo, Fen
    Song, Xinyu
    Chen, Yiping
    [J]. PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 877 - 880
  • [9] Permanence in A Delayed Stage-Structured Three Species Predator-Prey System with Impulsive Perturbations on Predators
    Tan, Dejun
    Zhang, Shuwen
    [J]. PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 272 - 278
  • [10] A stage-structured Holling mass defence predator-prey model with impulsive perturbations on predators
    Jiao, Jianjun
    Meng, Xinzhu
    Chen, Lansun
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2007, 189 (02) : 1448 - 1458
12345