Qualitative analysis of a Belousov–Zhabotinskii reaction model
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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.
MR(2010) Subject Classification35J57 35B09 35B35 92E20
KeywordsBelousov–Zhabotinskii reaction stability positive stationary solutions
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