BIOMAT_project.mw

I am looking at an SIR model and an adapted model that has a vaccine for measles. I would like to use Maple to plot the difference between the two models. 

All the work that's been done so far is in the attached file. I would like to have multiple graphs, changing the starting values but I just need the general idea of how to do this first. 

I have a region that can be graphed by A := plots:-inequal([evalc(abs(z)) < 3, evalc(1 < abs(z - 1))], x = -5 .. 5, y = -5 .. 5)

From there, I need to use the transformation 

M := (3 + sqrt(5))/2*(z - x1)/(z - x2) where x1 := (9 - sqrt(45))/2 and x2 := (9 + sqrt(45))/2 

How do I do this? Do I need to extract data points from the first graph? Is there an easier way to do this?