Some Global Results for the Degn-Harrison System with Diffusion

被引：7
|
作者：
Lisena, Benedetta [1 ]
机构：
[1] Univ Bari, Dipartimento Matemat, Via Orabona 4, I-70125 Bari, Italy
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 02期
关键词：
Reaction-diffusion; asymptotic stability; invariant rectangle; Degn-Harrison model; REACTION SCHEME; PATTERNS; MODEL;
D O I：
10.1007/s00009-017-0894-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper considers the Degn-Harrison reaction-diffusion system subject to homogeneous Neumann boundary conditions in a smooth and bounded domain. Using the presence of contracting rectangles and the method of Lyapunov, we establish sufficient conditions for the global asymptotic stability of the unique constant steady state.
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收藏
页数：14
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