Answer
The equilibrium points are $(\dfrac{c}{d},\dfrac{a}{b})$ and (0,0).
Work Step by Step
Here, we have $\dfrac{dx}{dt}=(a-by) x$ and $\dfrac{dy}{dt}=(-c+dx) x$
when $\dfrac{dx}{dt}=0$
Then, we get $y=\dfrac{a}{b}$ and $x=0$
Also, when $\dfrac{dy}{dt}=0$
Then, we get $x=\dfrac{c}{d}$ and $y=0$
Thus, we have the equilibrium points: $(\dfrac{c}{d},\dfrac{a}{b})$ and (0,0).
The point (0,0) implies zero rabbits and foxes. This point is unstable and if we introduce a few rabbits, they will begin to grow exponentially.
