For the competition model
dx/dt = x(a - bx - cy).
dy/dt = y(d - ex - fy),
Where the parameters a, b, c. d, e, and f are all positive, the diagrams in Problems show four possible positions of the nullclines and equilibrium points. In each case:
(a) Draw arrows in each region between the nullclines to show directions of the vector field.
(b) Determine if each equilibrium point is stable or unstable.
(c) Draw the solution curves in a neighborhood of each equilibrium point.
(d) Sketch the phase portrait of the system.
(e) Draw a conclusion about the long-term fate of the species involved.