Fixed Points of two differential equations

[msell2]

Homework Statement

Determine all fixed points of:
dx/dt = x(β-x-ay)
dy/dt = y(-1+ax-y)

β and a are parameters.

I get what to do when there is just one differential equation, but not two.

 

[tadchem]

Divide dx/dt = x(β-x-ay) by dy/dt = y(-1+ax-y) and you will get
(dx/dt)/(dy/dt) = [x(β-x-ay)]/[y(-1+ax-y)] = dx/dy