Reaction–Diffusion
Gray–Scott Model
A reaction–diffusion system that forms Turing patterns.
∂u/∂t=Dᵤ∇²u−uv²+F(1−u), ∂v/∂t=D_v∇²v+uv²−(F+k)v
What it means
The Gray–Scott model of two reacting, diffusing chemicals produces spots, stripes, and self-replicating patterns depending on feed and kill rates.
Variables
| u,v | chemical concentrations |
| F | feed rate |
| k | kill rate |
| Dᵤ,D_v | diffusion rates |
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