Stripes in the Gierer–Meinhardt model

Click to perturb the steady state of

$$\begin{aligned}\pd{u}{t}&=\nabla^2 u+a+\frac{u^2}{v}-bu,\\ \pd{v}{t}&=D\nabla^2v+ u^2-cv,\end{aligned}$$ where we take $a,b,c>0$ and $D>1$.