Chapter 3.6, Problem 16P

For each of the systems in Problem $13$ through $20$:

a) Find all of the critical points.

b) Use a computer, to draw a direction field and phase portrait for the system.

c) From the plots in part (b), describe how the trajectories behave in the vicinity of each critical point.

$\frac{dx}{dt}=-\left(x-y\right)\left(1-x-y\right),\frac{dy}{dt}=x\left(2+y\right)$