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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.

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
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