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
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