Spiral patterns near Turing instability in a discrete reaction diffusion system

被引：32
|
作者：
Li, Meifeng [1 ]
Han, Bo [1 ]
Xu, Li [1 ]
Zhang, Guang [1 ]
机构：
[1] Tianjin Univ Commerce, Sch Sci, Tianjin 300134, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2013年 / 49卷
关键词：
WAVES; MODEL; PERMANENCE; DYNAMICS;
D O I：
10.1016/j.chaos.2013.01.010
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, linear stability analysis is applied to an exponential discrete Lotka-Volterra system, which describes the competition between two identical species. Conditions for the Turing instability are obtained and the emergence of spiral patterns is demonstrated by means of numerical simulations in the vicinity of the bifurcation point. Moreover, the impact of crucial system parameters on the stability and coherence of spiral patterns is illustrated on several examples. (C) 2013 Elsevier Ltd. All rights reserved.
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页码：1 / 6
页数：6
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