Step
0
Pattern type
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Max prey density
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Max pred density
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Model (Holling type II):
∂u/∂t = r·u(1−u) − a·uv/(1+u) + D₁∇²u
∂v/∂t = εv(u/(1+u)−m) + D₂∇²v
Turing instability requires D₂≫D₁. Predators diffuse faster than prey → pattern formation.
Spotted/striped patterns emerge from homogeneous steady state — like animal coats!
∂u/∂t = r·u(1−u) − a·uv/(1+u) + D₁∇²u
∂v/∂t = εv(u/(1+u)−m) + D₂∇²v
Turing instability requires D₂≫D₁. Predators diffuse faster than prey → pattern formation.
Spotted/striped patterns emerge from homogeneous steady state — like animal coats!