
Mathematical and Statistical Aspects of Inverse Problems 83
0 5 10 15 20 25
0
2
4
6
8
10
12
14
16
18
Time
True Model
True Solution vs. Time
3 4 5 6 7 8 9 10 11 12 13
0
2
4
6
8
10
12
14
16
18
Time
Truncated True Model
Truncated True Solution vs. Time
FIGURE 3.1: Original and truncated logistic curve with K = 17.5, r = 0.7
and x
0
= 0.1.
nearly repeated va lue s (i.e., near the initial value x
0
or near the asymptote
x = K) are removed from the original plot, the resulting truncated plot is
given in the right panel of Figure 3.1 (there are no nea r zero values for this
function).
For this example we generated both CV and NCV noisy data (we sampled
from N(0, 25 × 10
−4
) distributed