Diffusion-driven instability and bifurcation in the Lengyel-Epstein system

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Global bifurcation analysis and pattern formation in homogeneous diffusive predator–prey systems (2016, methodology): “Turing’s analysis stimulated considerable theoretical research on mathematical models of pattern formation, and a great deal of research have been devoted to the study of Turing instability in chemical and biology contexts, see for example, [2,5,10,22] for Brusselator model; [27,35] for Gray–Scott m”
Non-existence of non-constant positive steady states of two Holling type-II predator–prey systems: Strong interaction case (2009, unknown): “The bifurcation of spatial nonhomogeneous steady state solutions from homogeneous ones is one of known mechanisms of pattern formation, hence it has been considered by many authors [1,4–7,14,15,25,28,37–41].”
On stationary patterns of a reaction–diffusion model with autocatalysis and saturation law (2008, unknown): “Examples of such kind include the Lengyel–Epstein reaction–diffusion system of the CIMA reaction [12, 13, 17, 29] and the Gray–Scott model of autocatalytic chemical reaction [8, 11, 23, 26, 30].”
Bifurcation analysis of reaction–diffusion Schnakenberg model (2013, methodology): “[22] for diffusive predator-prey systems, and similar approach has also been used in [3,6,9,16,19–21] for other reaction–diffusion models.”