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.
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Myint, A.Z., Li, L. & Wang, M.X. Qualitative analysis of a Belousov–Zhabotinskii reaction model. Acta. Math. Sin.-English Ser. 34, 975–991 (2018). https://doi.org/10.1007/s10114-017-7295-8
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DOI: https://doi.org/10.1007/s10114-017-7295-8