Brusselator oscillatory chemical reaction $(5$ points$)$

Using the following reaction network:

${?}^{k_1}x$

$x{k}_{2}Y$

$2x+Y{k}_{3}3x$

$x{k}_4$

a$.)$ Model the system $($Diff for $x$ and $Y)$

b$.)$ Find the steady states

c$.)$ Take time time ${?}^{-1}**$ concentration $($:${?}^{-1}\},$ and time $($:${?}^{-1}\}.$ Use linearized stability analysis to verify that the steady state is unstable when $0.$