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On spatiotemporal pattern formation in a diffusive bimolecular model. (English) Zbl 1209.35142
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.

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
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