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
  • [21] Pattern Formation in a Semi-Ratio-Dependent Predator-Prey System with Diffusion
    Baek, Hunki
    Jung, Dong Ick
    Wang, Zhi-wen
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2013, 2013
  • [22] 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
  • [23] A PREDATOR-PREY MODEL OF HOLLING-TYPE II WITH STATE DEPENDENT IMPULSIVE EFFECTS
    Ding, Changming
    Zhang, Zhongxin
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2015, 46 (01) : 247 - 259
  • [24] Permanence and global attractivity of a discrete semi-ratio dependent predator-prey system with Holling II type functional response
    Lu C.
    Zhang L.
    Journal of Applied Mathematics and Computing, 2010, 33 (1-2) : 125 - 135
  • [25] Permanence and periodicity of a delayed ratio-dependent predator-prey model with Holling type functional response and stage structure
    Li, Zuxiong
    Chen, Lansun
    Huang, Jianmin
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 233 (02) : 173 - 187
  • [26] Hopf bifurcation and hybrid control of a delayed diffusive semi-ratio-dependent predator-prey model
    Li, Hairong
    Tian, Yanling
    Huang, Ting
    Yang, Pinghua
    AIMS MATHEMATICS, 2024, 9 (10): : 29608 - 29632
  • [27] Periodic Solution of Impulsive predator-prey System with Holling-Tanner Type Functional Response
    Xing, Chunbo
    Zhan, Jiqui
    PROCEEDINGS OF THE 6TH CONFERENCE OF BIOMATHEMATICS, VOLS I AND II: ADVANCES ON BIOMATHEMATICS, 2008, : 58 - 62
  • [28] Qualitative analysis of a harvested predator-prey system with Holling type III functional response
    Jiang, Qiaohong
    Wang, Jinghai
    ADVANCES IN DIFFERENCE EQUATIONS, 2013, : 1 - 17
  • [29] Qualitative analysis of a harvested predator-prey system with Holling type III functional response
    Qiaohong Jiang
    Jinghai Wang
    Advances in Difference Equations, 2013
  • [30] BIFURCATIONS OF RATIO-DEPENDENT PREDATOR-PREY HOLLING TYPE III SYSTEMS WITH HARVESTING RATES
    Luo, Guangping
    Lan, Kunquan
    Zhu, Changrong
    JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS, 2014,
12345