Fisher-KPP dispersal wave: ∂u/∂t = D·∂²u/∂x² + r·u·(1−u); traveling-front framework

Layer 3 — Biologyin the biogeography subtree

Fisher-Kolmogorov-Petrovsky-Piskunov (FKPP) dispersal-wave framework — the canonical reaction-diffusion PDE governing spatial spread of an advantageous allele, invasive species, or range-shifting population (Fisher, Ann. Eugen. 7, 355,…

Related concepts

Reaction-diffusion equation
FKPP theorem: c*=2√D·√r (split-radical canonical); c*|_{D=1}=2√r; c*|_{r=1}=2√D; λ_min=−√r/√D

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