TWO PATCHES IMPULSIVE DIFFUSION PERIODIC SINGLE-SPECIES LOGISTIC MODEL

被引：16
作者：
Liu, Zijian [1 ]
Teng, Zhidong [1 ]
Zhang, Long [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIOMATHEMATICS | 2010年 / 3卷 / 01期
关键词：
Patch; impulsive diffusion; iterative method; periodic solution; global attractivity; extinction; GLOBAL STABILITY; PREY DISPERSAL; TIME-DELAY; DYNAMICS; ENVIRONMENT;
D O I：
10.1142/S1793524510000842
中图分类号：
Q [生物科学];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we study a periodic single-species logistic system with impulsive diffusion in two patches. By using the iterative method, sufficient and necessary conditions on the existence, uniqueness and global attractivity of positive periodic solution and the extinction of species for this system are established. Two examples and numerical simulations are presented to illustrate the feasibility of our results.
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页码：127 / 141
页数：15
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