Analysis of spatial patterns in a vegetation model

被引：2
|
作者：
Guo, Tao [1 ,2 ]
Tan, Qiulin [2 ]
Xiong, Jijun [1 ]
机构：
[1] Sci & Technol Elect Test & Measurement Lab, Taiyuan 030051, Shanxi, Peoples R China
[2] N Univ China, Minist Educ, Key Lab Instrumentat Sci & Dynam Measurement, Taiyuan 030051, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 21期
关键词：
Vegetation; Pattern; Rainfall; Self-organization; DYNAMICS; STRIPES;
D O I：
10.1016/j.amc.2011.03.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a vegetation model with spatial diffusion is investigated. By linear analysis, we give the critical values of the wavenumber of the emerging patterns. Moreover, through a detailed analysis in two spatial dimensions, the pattern formation mechanisms of steady state patterns are obtained dependent on the quantity of rainfall. The mechanisms of pattern formation suggest that rainfall plays an important role in the formation of vegetation. Crown Copyright (C) 2011 Published by Elsevier Inc. All rights reserved.
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页码：8303 / 8310
页数：8
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