An Impulsive Semi-Ratio-Dependent Predator-Prey Model with Holling Type III Functional Response for Integrated Pest Management

被引:0
|
作者
Wang, Kai-hua [1 ]
Gui, Zhan-ji [2 ]
Zhang, Wen-xiang [1 ]
机构
[1] Hainan Normal Univ, Sch Math & Stat, Haikou 571158, Hainan, Peoples R China
[2] Hainan Coll Software Technol, Dept Software Engn, Qionghai 571400, Peoples R China
来源
INTERNATIONAL CONFERENCE ON INFORMATICS, CONTROL AND AUTOMATION (ICA 2015) | 2015年
关键词
Impulsive; Holling type III; Periodic solution; Pest control; PERIODIC-SOLUTIONS;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, a Holling type III functional response semi-ratio-dependent predator-prey model with impulsive releasing natural enemies and spraying pesticide is investigated for the purpose of integrated pest control. The sufficient condition for the existence of the periodic solution is obtained, which means that if the release amount of pesticide and natural enemies are large enough, then the pest will be controlled under the tolerable levels. Furthermore, some numerical simulations show that our integrated pest management strategy is superior to those who only spray pesticide or release natural enemies.
引用
收藏
页码:123 / 129
页数:7
相关论文
共 50 条
  • [41] Positive periodic solution for a semi-ratio-dependent predator-prey system with diffusion and time delays
    Ding, Xiaoquan
    Wang, Fangfang
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2008, 9 (02) : 239 - 249
  • [42] DYNAMICS ON A HOLLING II PREDATOR-PREY MODEL WITH STATE-DEPENDENT IMPULSIVE CONTROL
    Liu, Bing
    Tian, Ye
    Kang, Baolin
    INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2012, 5 (03)
  • [43] A predator-prey model with disease in the prey and two impulses for integrated pest management
    Shi, Ruiqing
    Jiang, Xiaowu
    Chen, Lansun
    APPLIED MATHEMATICAL MODELLING, 2009, 33 (05) : 2248 - 2256
  • [44] Spatial Complexity of a Predator-Prey Model with Holling-Type Response
    Zhang, Lei
    Li, Zhibin
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [45] Holling II predator-prey impulsive semi-dynamic model with complex Poincare map
    Tang, Sanyi
    Tang, Biao
    Wang, Aili
    Xiao, Yanni
    NONLINEAR DYNAMICS, 2015, 81 (03) : 1575 - 1596
  • [46] Dynamic Analysis of an Impulsively Controlled Predator-Prey Model with Holling Type IV Functional Response
    Wang, Yanzhen
    Zhao, Min
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2012, 2012
  • [47] Predator-prey overlap induced Holling type III functional response in the North Sea fish assemblage
    Kempf, Alexander
    Floeter, Jens
    Temming, Axel
    MARINE ECOLOGY PROGRESS SERIES, 2008, 367 : 295 - 308
  • [48] Periodic solutions for a predator-prey model with Holling-type functional response and time delays
    Rui, X
    Chaplain, MAJ
    Davidson, FA
    APPLIED MATHEMATICS AND COMPUTATION, 2005, 161 (02) : 637 - 654
  • [49] Qualitative analysis of a harvested predator-prey system with Holling-type III functional response incorporating a prey refuge
    Jinghai Wang
    Liqin Pan
    Advances in Difference Equations, 2012
  • [50] Global dynamics of a predator-prey system with Holling type II functional response
    Tian, Xiaohong
    Xu, Rui
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2011, 16 (02): : 242 - 253