Dynamics of impulsive reaction-diffusion predator-prey system with Holling type III functional response

被引：12
|
作者：
Liu, Zijian [1 ]
Zhong, Shouming [1 ,2 ]
Yin, Chun [1 ]
Chen, Wufan [3 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610054, Peoples R China
[2] Univ Elect Sci & Technol China, Minist Educ, Key Lab NeuroInformat, Chengdu 610054, Peoples R China
[3] Univ Elect Sci & Technol China, Sch Automat Engn, Chengdu 610054, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2011年 / 35卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Reaction-diffusion; Holling type III functional response; Predator-prey system; Permanence; Stability; PERIODIC-SOLUTIONS; STABILITY ANALYSIS; MODEL; PERTURBATIONS; PERMANENCE; EQUATIONS;
D O I：
10.1016/j.apm.2011.05.019
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
An impulsive reaction-diffusion periodic predator-prey system with Holling type III functional response is investigated in the present paper. Sufficient conditions for the ultimate boundedness and permanence of the predator-prey system are established based on the upper and lower solution method and comparison theory of differential equation. By constructing an appropriate auxiliary function, the conditions for the existence of a unique globally stable positive periodic solution are also obtained. Some numerical examples are presented to verify our results. A discussion is given at the end. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：5564 / 5578
页数：15
相关论文
共 50 条
  • [31] DYNAMIC COMPLEXITIES OF HOLLING TYPE II FUNCTIONAL RESPONSE PREDATOR-PREY SYSTEM WITH DIGEST DELAY AND IMPULSIVE HARVESTING ON THE PREY
    Jia, Jianwen
    Cao, Hui
    [J]. INTERNATIONAL JOURNAL OF BIOMATHEMATICS, 2009, 2 (02) : 229 - 242
  • [32] Bifurcations of a predator-prey system with cooperative hunting and Holling III functional response
    Yao, Yong
    Song, Teng
    Li, Zuxiong
    [J]. NONLINEAR DYNAMICS, 2022, 110 (01) : 915 - 932
  • [33] THE EFFECT OF DELAY ON A DIFFUSIVE PREDATOR-PREY SYSTEM WITH HOLLING III FUNCTIONAL RESPONSE AND PREY REFUGE
    Ren, Haoyu
    Cheng, Xue
    Yang, Ruizhi
    [J]. ADVANCES IN DIFFERENTIAL EQUATIONS AND CONTROL PROCESSES, 2016, 17 (03): : 231 - 257
  • [34] On a predator-prey system of Holling type
    Sugie, J
    Kohno, R
    Miyazaki, R
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1997, 125 (07) : 2041 - 2050
  • [35] Complexity of a delayed predator-prey model with impulsive harvest and holling type II functional response
    Zeng, Guangzhao
    Wang, Fengyan
    Nieto, Juan J.
    [J]. ADVANCES IN COMPLEX SYSTEMS, 2008, 11 (01): : 77 - 97
  • [36] Turing Instability of A Reaction-Diffusion Predator-Prey Model with Holling Type-II Function
    Li, Jian
    Xiao, Min
    Zhang, Mingyue
    Wang, Lu
    Qian, Rong
    Tao, Binbin
    [J]. PROCEEDINGS OF THE 33RD CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2021), 2021, : 6454 - 6459
  • [37] Traveling wave solutions in a diffusive predator-prey system with Holling type-III functional response
    Yang, Deniu
    Liu, Minghuan
    [J]. JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2022, 39 (01) : 97 - 118
  • [38] Local bifurcations of a ratio-dependent predator-prey system with Holling type III functional response
    Zhang, Qiuyan
    [J]. ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2015, 42 (02): : 339 - 346
  • [39] Dynamic Behaviors of a Holling-type Predator-Prey System with Impulsive Immigration on the Predator
    Sun, Shulin
    Chen, Lansun
    [J]. PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 257 - 262
  • [40] Effects of impulsive release on a predator-prey system with distributed delay and Holling II functional response
    Guo, Hongjian
    Song, Xinyu
    Chen, Lansun
    [J]. PROCEEDINGS OF THE 7TH CONFERENCE ON BIOLOGICAL DYNAMIC SYSTEM AND STABILITY OF DIFFERENTIAL EQUATION, VOLS I AND II, 2010, : 29 - 32
12345