%latex\section{The equilibrium points}$$\begin{array}{rcl}0&=&F(x,y)\\0&=&G(x,y)\end{array}$$Solving this system yields:\begin{equation}(x_\infty, y_\infty)=\sage{solve([x_prime(x,y)==0, y_prime(x,y)==0],x,y)}\end{equation}We only consider the realistic EQ pts. Those are the ones that lie in the first quadrant.\begin{equation}(x_\infty, y_\infty)=\left\lbrace(0,0),(1,0),(0,4)\right\rbrace\end{equation}