An impulsive periodic predator-prey system with Holling type III functional response and diffusion

被引：10
|
作者：
Liu, Zijian [1 ]
Zhong, Shouming [2 ]
机构：
[1] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 610054, Sichuan, Peoples R China
来源：
APPLIED MATHEMATICAL MODELLING | 2012年 / 36卷 / 12期
基金：
中国国家自然科学基金;
关键词：
Holling type III functional response; Impulses; Diffusion; Permanence; Global stability; GLOBAL STABILITY; PATCHY-ENVIRONMENT; COMPETITIVE SYSTEM; POPULATION-MODEL; DISPERSAL; DYNAMICS; PERMANENCE; DELAY;
D O I：
10.1016/j.apm.2012.01.032
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper studies an impulsive two species periodic predator-prey Lotka-Volterra type dispersal system with Holling type Ill functional response in a patchy environment, in which the prey species can disperse among n different patches, but the predator species is confined to one patch and cannot disperse. Conditions for the permanence and extinction of the predator-prey system, and for the existence of a unique globally stable periodic solution are established. Numerical examples are shown to verify the validity of our results. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：5976 / 5990
页数：15
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