For slowly varying heterogeneity and small diffusion, a reaction-diffusion system forms localized Turing patterns precisely where the pointwise classical Turing inequalities hold.
Wolpert, in Current topics in developmental biology (Elsevier, 2016), vol
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From One Pattern into Another: Analysis of Turing Patterns in Heterogeneous Domains via WKBJ
For slowly varying heterogeneity and small diffusion, a reaction-diffusion system forms localized Turing patterns precisely where the pointwise classical Turing inequalities hold.