Peng, Rui; Yi, Fengqi On spatiotemporal pattern formation in a diffusive bimolecular model. (English) Zbl 1209.35142 Discrete Contin. Dyn. Syst., Ser. B 15, No. 1, 217-230 (2011). Summary: This paper continues the analysis on a bimolecular autocatalytic reaction-diffusion model with saturation law. An improved result of steady state bifurcation is derived and the effect of various parameters on spatiotemporal patterns is discussed. Our analysis provides a better understanding on the rich spatiotemporal patterns. Some numerical simulations are performed to support the theoretical conclusions. Cited in 5 Documents MSC: 35Q92 PDEs in connection with biology, chemistry and other natural sciences 35J57 Boundary value problems for second-order elliptic systems 35K57 Reaction-diffusion equations 92C15 Developmental biology, pattern formation 92C40 Biochemistry, molecular biology Keywords:diffusive bimolecular model; autocatalysis and saturation law; spatiotemporal pattern; steady state bifurcation PDF BibTeX XML Cite \textit{R. Peng} and \textit{F. Yi}, Discrete Contin. Dyn. Syst., Ser. B 15, No. 1, 217--230 (2011; Zbl 1209.35142) Full Text: DOI