Solution Curves

We plot the hare and lynx 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!

> L:= DEplot( MODEL, vars, domain, [ init1 ], stepsize = 0.5, scene=[t, u], arrows=NONE):

> H:= DEplot( MODEL, vars, domain, [ init1 ], stepsize = 0.5, scene=[t, h], arrows=NONE):

> display( {L,H} , title = `Hares and 60 * Lynxes vs. time` );

>

Which graph is which?

Can you explain why one crests before the other?

(You may want to insert options such as linecolor= or thickness= to distinguish the graphs from one another, but don't do this until you have thought about these questions.)