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Turing instability and Hopf bifurcation of a bimolecular model with autocatalysis and saturation law. (Chinese. English summary) Zbl 1389.35069
Summary: This paper deals with a bimolecular model with autocatalysis and saturation law. By analyzing the eigenvalues of the linearized system and using the bifurcation theory, we derive the conditions to occurrence Turing instability and Hopf bifurcation from the unique constant solution. Numerical simulations are presented to verify and illustrate the theoretical results.

MSC:
35B35 Stability in context of PDEs
35B32 Bifurcations in context of PDEs
35K57 Reaction-diffusion equations
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