Another system which I have implemented is a 5-chemical system proposed by Meindhart for the generation of stripe patterns:

$\frac{ \partial a}{\partial t} = \frac{kea^2}{c} - s_1a + D_a \bigtriangledown^2_a + \rho _0$

$\frac{ \partial b}{\partial t} = \frac{kdb^2}{c} - s_1b + D_a \bigtriangledown^2_b + \rho _0$

$\frac{ \partial c}{\partial t} = kea^2 + kdb^2 - \beta c$

$\frac{ \partial d}{\partial t} = s_2(a - d) + D_d \bigtriangledown^2_d + \rho _1$

$\frac{ \partial e}{\partial t} = s_2(b - e) + D_d \bigtriangledown^2_e + \rho _0$