Qualitative Analysis of a Belousov–Zhabotinskii Reaction Model

作     者：Aung Zaw MYINT Li LI Ming Xin WANG 

作者机构：Department of Mathematics Harbin Institute of Technology 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2018年第34卷第6期

页      面：975-991页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by NSFC(Grant No.11371113) 

主　　题：Belousov-Zhabotinskii reaction stability positive stationary solutions 

摘      要：This paper deals with one kind of Belousov-Zhabotinskii reaction model. Linear stability is discussed for the spatially homogeneous problem firstly. Then we focus on the stationary problem with diffusion. Non-existence and existence of non-constant positive solutions are obtained by using implicit function theorem and Leray-Sehauder degree theory, respectively.