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Select
GRAPH
from the
GRAPH
two populations over time.
To see the direction field of the phase-plane solution, select
FORMT
from the
GRAPH
screen, and then set
format.
Select
INITC
from the
GRAPH
Q[1
and
Q[2
.
Select
GRAPH
from the
GRAPH
field of the phase-plane solution.
To see a family of specific phase-plane solutions on top of the
direction field, select
INITC
enter lists for
Q[1
and
Q[2
Q[1={2,6,7}
Q[2={6,12,18}
Select
TRACE
from the
GRAPH
the trace cursor.
Press
3
to see how many foxes and how many rabbits are alive at
t=3
. (Round the values of
Q1
numbers.) How many foxes and rabbits are alive at
On what value of
Q1
and
Q2
converge? What is the significance of this value?
menu to plot the graph of the
DirFld
menu and delete the values for
menu to display the direction
from the
GRAPH
menu, and then
as shown.
menu to display the graph with
(foxes) and
Q2
(rabbits) to whole
t=6
do the phase-plane orbits seem to
Chapter 19: Applications
field
? at
t=12
?
259
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