Graphics Programs Reference
In-Depth Information
(3) If 1
<
u
3, the Population Will Stabilize at Density 1
1
/
ufor
≤
−
Any Initial Density Other Than Zero
The third of the original four examples corroborates the assertion (with
u
=
1
.
5 and 1
−
1
/
u
=
1
/
3). In the following examples, we set
u
=
2
,
2
.
5, and
3, so that 1
−
1
/
u
equals 0.5, 0.6, and 0.666..., respectively. The convergence
in the last computation is rather slow (as one might expect from a boundary
case — or bifurcation point).
X = itseq(f, 0.25, 100, 2); X(101)
ans =
0.50000000000000
X = itseq(f, 0.75, 100, 2); X(101)
ans =
0.50000000000000
X = itseq(f, 0.5, 20, 2.5);
plot(X)
0.64
0.62
0.6
0.58
0.56
0.54
0.52
0.5
0
5
10
15
20
25
X = itseq(f, 0.75, 100, 3);
bar(X); axis([0 100 0 0.8])
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