I have the following system that I want to non-dimensionalize: \begin{align} D'=zD(D(x_{1}-D)/(x_{1}-x_{2}W) \end{align} \begin{align} W’ = zW (D-x_{3}) \end{align} where D is deer, W is wolves, with units of animals/$\text{meter}^2$.
The parameters are $z, x_{1}, x_{2}, x_{3}$ all positive.
So, I know that first I need to identify the independent and dependent variables and then replace each of them with a quantity scaled relative to a characteristic unit. But, I'm having trouble with the units and don't really know where to go from here.
I have: \begin{align*} d=\frac{D}{D_{c}} \end{align*}
\begin{align*} w=\frac{W}{W_{c}} \end{align*}
\begin{align*} \tau=\frac{t}{t_{c}} \end{align*}
for the parameters, but that's all I got so far.