Phase Portrait

Next we plot the hare and lynx populations against one another in what is called a PHASE PORTRAIT. We do this for three different initial conditions. ***Can you identify which curve goes with which initial condition? How is the independent variable t showing up in these pictures? (Hint: try it again with time interval t = 0 .. 20.) ***

> domain := t = 0 .. 160;

[Maple Math]

> DEplot( MODEL, vars, domain, [ init1, init2, init3 ], stepsize=0.5, scene=[h,u], title=`Hares vs. 60 * Lynxes for t = 0 .. 160`, arrows= NONE );

>