Zhou, Jun Turing instability and Hopf bifurcation of a bimolecular model with autocatalysis and saturation law. (Chinese. English summary) Zbl 1389.35069 Acta Math. Sci., Ser. A, Chin. Ed. 37, No. 2, 366-373 (2017). 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. Cited in 1 Document MSC: 35B35 Stability in context of PDEs 35B32 Bifurcations in context of PDEs 35K57 Reaction-diffusion equations Keywords:bimolecular model; autocatalysis; Turing instability; Hopf bifurcation PDF BibTeX XML Cite \textit{J. Zhou}, Acta Math. Sci., Ser. A, Chin. Ed. 37, No. 2, 366--373 (2017; Zbl 1389.35069)