Turing patterns in the Lengyel-Epstein system for the CIMA reaction

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On stationary patterns of a reaction–diffusion model with autocatalysis and saturation law (2008, unknown): “By the same arguments as in [17, 21, 28], we can assert the following:”
Global Bifurcation and Structure of Turing Patterns in the 1-D Lengyel–Epstein Model (2004, methodology): “If (u, v) = (u(x), v(x)) is a positive solution to the boundary value problem (2.l)–(2.3), then it is proved in [ 13 ] that”
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”
Bifurcations of patterned solutions in the diffusive Lengyel-Epstein system of Cima chemical reactions (2013, methodology): “Note d is the effective diffusion coefficient used in [14], and m, α are two essential parameters for the ODE system (see the bifurcation diagram in [23].”