Impulsive predator-prey model

被引：0
|
作者：
Charif, Fayssal [1 ]
Helal, Mohamed [1 ]
Lakmeche, Abdelkader [1 ]
机构：
[1] Univ Djillali Liabes Sidi Bel Abbes, Lab Biomath, Sidi Bel Abbes 22000, Algeria
来源：
WORKSHOP ON MATHEMATICS FOR LIFE SCIENCES (WMLS 2014) | 2015年 / 4卷
关键词：
STABILITY;
D O I：
10.1051/itmconf/20150401008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we considered a predator-prey model with state-dependent impulse. We determine periodic solutions for the model without impulses and we prove the existence of nontrivial periodic solution in the case of impulse depending on the state of the model.
引用
收藏
页数：10
相关论文
共 50 条
  • [1] Biocontrol in an impulsive predator-prey model
    Terry, Alan J.
    [J]. MATHEMATICAL BIOSCIENCES, 2014, 256 : 102 - 115
  • [2] The Periodic Predator-Prey Model with Impulsive Effect
    Wu, Wen
    Tang, Sanyi
    [J]. PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 342 - 345
  • [3] A predator-prey model with state dependent impulsive effects
    Ding, Changming
    [J]. ANNALES POLONICI MATHEMATICI, 2014, 111 (03) : 297 - 308
  • [4] Stability Analysis of a Predator-prey Model with Impulsive Control
    Song, Yan
    Qi, Xiao-Yu
    Gao, Ya-Jun
    Xiao, Wen
    [J]. 2015 International Conference on Mechanical Engineering and Automation (ICMEA 2015), 2015, : 52 - 57
  • [5] THE PERIODIC HOLLING Ⅱ PREDATOR-PREY MODEL WITH IMPULSIVE EFFECT
    ZHANG Yujuan(Department of Applied Mathematics
    Department of Mathematics
    [J]. Journal of Systems Science & Complexity, 2004, (04) : 555 - 566
  • [6] Impulsive state feedback control of a predator-prey model
    Jiang, Guirong
    Lu, Qishao
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2007, 200 (01) : 193 - 207
  • [7] A Predator-Prey Model with Stage Structure and Impulsive Effects
    Du, Yanke
    Xu, Rui
    [J]. PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 75 - 78
  • [8] Impulsive perturbations in a predator-prey model with dormancy of predators
    Wang, Jingnan
    Jiang, Weihua
    [J]. APPLIED MATHEMATICAL MODELLING, 2014, 38 (9-10) : 2533 - 2542
  • [9] 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
  • [10] A Predator-Prey Gompertz Model with Time Delay and Impulsive Perturbations on the Prey
    Jia, Jianwen
    Li, Chunhua
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2009, 2009
12345