THE PERIODIC HOLLING Ⅱ PREDATOR-PREY MODEL WITH IMPULSIVE EFFECT

被引：0
|
作者：
ZHANG Yujuan(Department of Applied Mathematics
Department of Mathematics
机构：
来源：
Journal of Systems Science and Complexity | 2004年 / 04期
基金：
中国国家自然科学基金;
关键词：
Holling Ⅱ predator-prey model; impulsive effect; bifurcation; extinction;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a periodic Holling II predator-prey model with impulsive effect is investigated. By applying the Floquet theory of linear periodic impulsive equation, some sufficient conditions are obtained for the linear stability and instability of trivial and semi-trivial periodic solutions. Moreover, we use standard bifurcation theory to show the existence of coexistence states which arise near the semi-trivial periodic solution. As an application, we also examine some special case of the system to confirm our main results.
引用
收藏
页码：555 / 566
页数：12
相关论文
共 50 条
  • [1] The Periodic Predator-Prey Model with Impulsive Effect
    Wu, Wen
    Tang, Sanyi
    PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 342 - 345
  • [2] Attractive Periodic Solutions of a Discrete Holling-Tanner Predator-Prey Model with Impulsive Effect
    Duque, Cosme
    Uzategui, Jahnett
    Ruiz, Bladismir
    Perez, Maribel
    BULLETIN OF COMPUTATIONAL APPLIED MATHEMATICS, 2020, 8 (01):
  • [3] Impulsive periodic oscillation for a predator-prey model with Hassell-Varley-Holling functional response
    Liu, Xiuxiang
    APPLIED MATHEMATICAL MODELLING, 2014, 38 (04) : 1482 - 1494
  • [4] Extinction and Permanence of a Holling I Type Impulsive Predator-prey Model
    Baek, Hunki
    Jung, Changdo
    KYUNGPOOK MATHEMATICAL JOURNAL, 2009, 49 (04): : 763 - 770
  • [5] THE PERIODIC PREDATOR-PREY LOTKA-VOLTERRA MODEL WITH IMPULSIVE EFFECT
    Tang, Sanyi
    Chen, Lansun
    JOURNAL OF MECHANICS IN MEDICINE AND BIOLOGY, 2002, 2 (3-4) : 267 - 296
  • [6] Multiple periodic solutions of an impulsive predator-prey model with Holling-type IV functional response
    Wang, Qi
    Dai, Binxiang
    Chen, Yuming
    MATHEMATICAL AND COMPUTER MODELLING, 2009, 49 (9-10) : 1829 - 1836
  • [7] An impulsive periodic predator-prey system with Holling type III functional response and diffusion
    Liu, Zijian
    Zhong, Shouming
    APPLIED MATHEMATICAL MODELLING, 2012, 36 (12) : 5976 - 5990
  • [8] Global stability of a periodic Holling-Tanner predator-prey model
    Lisena, Benedetta
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (09) : 3270 - 3281
  • [9] Impulsive predator-prey model
    Charif, Fayssal
    Helal, Mohamed
    Lakmeche, Abdelkader
    WORKSHOP ON MATHEMATICS FOR LIFE SCIENCES (WMLS 2014), 2015, 4
  • [10] The dynamic complexity of an impulsive Holling II predator-prey model with mutual interference
    He, Decai
    Huang, Wentao
    Xu, Qiujin
    APPLIED MATHEMATICAL MODELLING, 2010, 34 (09) : 2654 - 2664
12345