Graphing Phase Plots - Texas Instruments TI-84 PLUS - Graphing Calculator Manual Book

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6. Press p and change the variables below.
Xmin=
L
10
7. Press s to graph the sequence.
8. Press r, and then press ~ to draw the web. The displayed cursor coordinates
) change accordingly. When you press ~, a new
and
(
Y
u(n)
cursor is on the sequence. When you press ~ again, the
cursor moves to the

Graphing Phase Plots

Graphing with uv, vw, and uw
The phase-plot axes settings
select a phase-plot axes setting, press y ., press ~ until the cursor is on
and then press Í.
Axes Setting
uv
vw
uw
Example: Predator-Prey Model
Use the predator-prey model to determine the regional populations of a predator and its prey that
would maintain population equilibrium for the two species.
This example uses the model to determine the equilibrium populations of foxes and rabbits, with
initial populations of 200 rabbits (
These are the variables (given values are in parentheses):
R
=
number of rabbits
M
=
rabbit population growth rate without foxes
K
=
rabbit population death rate with foxes
W
=
number of foxes
G
=
fox population growth rate with rabbits
Xmax=10
reference line. This pattern repeats as you trace the web.
y=x
,
, and
show relationships between two sequences. To
uv
vw
uw
x-axis
u(n)
v(n)
u(n)
) and 50 foxes (
u(nMin)
value is displayed, and the trace
n
value remains the same, and the
n
y-axis
v(n)
w(n)
w(n)
).
v(nMin)
(.05)
(.001)
(.0002)
Chapter 6: Sequence Graphing
,
(
),
n
X
u(n
N
1)
,
, or
,
uv
vw
uw
111

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