Consider the model:

dx$1$

dt $=(1$ x$11$

$2$ x$2)$x$1(1)$

dx$2$

dt $=(12$

$3$ x$1$ x$2)$x$2(2)$

$($a$)$ Find all the equilibrium points $($i$.$e$.$ points for which dx$1$

dt $=$ dx$2$

dt $=0$ in

the quadrant x$1,$ x$20).$