Pattern formation in the Brusselator system
Pattern formation in the Brusselator system
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DOI：
10.1016/j.jmaa.2004.12.026
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发表时间：
2005-09
影响因子：
1.3
通讯作者：
Rui Peng;Mingxin Wang
中科院分区：
文献类型：
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作者：
Rui Peng;Mingxin Wang
本文讨论了一类反应扩散系统-扩散子模型，给出了该模型定态解的一些改进结果。我们首先给出了一个先验估计（正的上界和下界）的正平衡态。然后，我们得到了当参数λ，θ和B变化时，非定常正平衡态的存在性和不存在性，即斑图形成或不形成的条件。
In the paper, we deal with a reaction–diffusion system well known as the Brusselator model and some improved results for the steady states of this model are presented. We first give an a priori estimates (positive upper and lower bounds) of positive steady states. Then, we obtain the non-existence and existence of positive non-constant steady states as the parameters λ, θ and b are varied, which means some certain conditions under which the pattern formation occurs or not.