Biology Reference
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FIGURE 1-26.
BERKELEY MADONNA numerical solution: Graphical output and model.
E XERCISE 1-25
(a) Obtain a numerical solution at the integer values of t from t
¼
0to
P
20 for dP
ð
t
Þ
P
ð
t
Þ
t
¼
¼
a 1
ð
t
Þ
, P(0)
¼
9.6, K
¼
660, and
dt
K
a
¼
0.608.
(b) Import the data from Table 1-8, and compare them with the model
prediction.
Solving discrete models in BERKELEY MADONNA is very similar. There
are no derivatives involved here, so entering the actual model equation
is done in a slightly different way. For example, to enter our discrete
model p n - p n 1 ¼
k p n 1 , first rewrite it as p n ¼
p n 1 þ
kp n 1 ¼
(1
þ
k) p n 1 .
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