Fisher's equation

In mathematics, Fisher's equation (named after statistician and biologist Ronald Fisher) also known as the Kolmogorov–Petrovsky–Piskunov equation (named after Andrey Kolmogorov, Ivan Petrovsky, and Nikolai Piskunov), KPP equation or Fisher–KPP equation is the partial differential equation:

${\frac {\partial u}{\partial t}}-D{\frac {\partial ^{2}u}{\partial x^{2}}}=ru(1-u).\,$

It is a kind of reaction–diffusion system that can be used to model population growth and wave propagation.

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