Fisher's equation (source code)

= Fisher's equation
{c}
{title2=$u_t=D\Delta u+ru(1-u/K)$}
{wiki}

<Fisher's equation> is a <reaction-diffusion equation> combining diffusion with logistic growth. For positive $D,r,K$, one-dimensional fronts joining $K$ to zero have minimum speed $2\sqrt{Dr}$. The <phase-plane construction of a Fisher travelling front> and the linearized leading edge explain this threshold.