Two-patches prey impulsive diffusion periodic predator-prey model

被引：7
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：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2011年 / 16卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Predator-prey system; Diffusion; Impulsive; Periodic solution; Extinction; GLOBAL STABILITY; PATCHY ENVIRONMENT; TIME-DELAY; DISPERSAL; DYNAMICS; PERMANENCE; EXTINCTION; SYSTEMS; MIGRATION; WAVES;
D O I：
10.1016/j.cnsns.2010.09.023
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a periodic predator-prey system with prey impulsive diffusion in two patches. On the basis of comparison theorem of impulsive differential equation and other analysis methods, sufficient and necessary conditions on the predator-prey system where predator have not other food source are established. Two examples and numerical simulations are presented to illustrate the feasibility of our results. A conclusion is given in the end. (C) 2010 Elsevier B.V. All rights reserved.
引用
收藏
页码：2641 / 2655
页数：15
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