Qualitative analysis of a Belousov–Zhabotinskii reaction model

Aung Zaw Myint; Li Li; Ming Xin Wang

doi:10.1007/s10114-017-7295-8

Qualitative analysis of a Belousov–Zhabotinskii reaction model

Aung Zaw Myint
, Li Li^*
, Ming Xin Wang

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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–Schauder degree theory, respectively.

Original language	English
Pages (from-to)	975-991
Number of pages	17
Journal	Acta Mathematica Sinica, English Series
Volume	34
Issue number	6
DOIs	https://doi.org/10.1007/s10114-017-7295-8
State	Published - 1 Jun 2018

Keywords

Belousov–Zhabotinskii reaction
positive stationary solutions
stability

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10.1007/s10114-017-7295-8

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title = "Qualitative analysis of a Belousov–Zhabotinskii reaction model",

abstract = "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–Schauder degree theory, respectively.",

keywords = "Belousov–Zhabotinskii reaction, positive stationary solutions, stability",

author = "Myint, \{Aung Zaw\} and Li Li and Wang, \{Ming Xin\}",

note = "Publisher Copyright: {\textcopyright} 2018, Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag GmbH Germany, part of Springer Nature.",

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AU - Li, Li

AU - Wang, Ming Xin

N1 - Publisher Copyright: © 2018, Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag GmbH Germany, part of Springer Nature.

PY - 2018/6/1

Y1 - 2018/6/1

N2 - 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–Schauder degree theory, respectively.

AB - 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–Schauder degree theory, respectively.

KW - Belousov–Zhabotinskii reaction

KW - positive stationary solutions

KW - stability

UR - https://www.scopus.com/pages/publications/85038830022

U2 - 10.1007/s10114-017-7295-8

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M3 - 文章

AN - SCOPUS:85038830022

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EP - 991

JO - Acta Mathematica Sinica, English Series

JF - Acta Mathematica Sinica, English Series

IS - 6

ER -

Qualitative analysis of a Belousov–Zhabotinskii reaction model

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Keywords

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