KPP–Fisher equation
In mathematics, Fisher-KPP equation (named after Ronald Fisher , Andrey Kolmogorov, Ivan Petrovsky, and Nikolai Piskunov) also known as the Fisher equation, Fisher–KPP equation, or KPP equation is the partial differential equation:It is a kind of reaction–diffusion system that can be used to model population growth and wave propagation. == Details == Fisher-KPP equation belongs to the class of reaction–diffusion equations: in fact, it is one of the simplest semilinear reaction-diffusion equations, the one which has the inhomogeneous term f ( u , x , t ) = r u ( 1 − u ) , {\displaystyle f(u,x,t)=ru(1-u),\,} which can exhibit traveling wave solutions that switch between equilibrium states given by f ( u ) = 0 {\displaystyle f(u)=0} .