The Brusselator equation is

$\displaystyle \frac{d[X]}{dt} = k_1[A] - k_2[b][X] - k_4[X] + k_3[X]^2[Y]$

$\displaystyle \frac{d[Y]}{dt} = k_2[b][X] - k_3[x]^2[Y]$

by linear scaling the variables and time, we have

$\displaystyle \frac{dx}{dt} = a - (b + 1)x + x^2y$

$\displaystyle \frac{dy}{dt} = bx - x^2y$

but how do we do it? what substitusion should I use?

thx for any help