Qualitative analysis of a Belousov-Zhabotinskii reaction model

Authors
Myint, Aung Zaw Li, Li Wang, Ming Xin
Citation
Myint, Aung Zaw et al., Qualitative analysis of a Belousov-Zhabotinskii reaction model, Acta mathematica Sinica. English series (Print) , 34(6), 2018, pp. 975-991
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
34
Issue
6
Year of publication
2018
Pages
975 - 991
Database
ACNP
SICI code
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.