Solution Curves

We plot the rabbit and fox populations jointly against time using the first of the given initial conditions. You should repeat this with the other initial conditions. Get a feeling for the long term behavior by changing the time interval. Keep a record of the results with questions 1-5 in mind!

> Fplot:= DEplot( MODEL, vars, domain, [ init1 ], stepsize = 0.5, scene=[t, F], thickness = 4, linecolor=RED, arrows=NONE):

> Rplot:= DEplot( MODEL, vars, domain, [ init1 ], stepsize = 0.5, scene=[t, R], thickness = 2, linecolor=BLUE, arrows=NONE):

> display( {Fplot,Rplot} , title = `Rabbits and 60 * Foxes vs. time` );

>

Can you explain why one crests before the other?

Which graph is which?

(How could you tell if the plots did not use different colors and thicknesses?)