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Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
book

Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition

by Harold Klee, Randal Allen
April 2016
Intermediate to advanced content levelIntermediate to advanced
815 pages
31h 29m
English
CRC Press
Content preview from Simulation of Dynamic Systems with MATLAB and Simulink, 2nd Edition
The right-hand side of Equation 1.53 with P(50Dt) replaced by P
A
(50) becomes
cP(nDt)[P
m
P(n Dt)] ¼ cP
A
(50)[P
m
P
A
(50)]
¼ 1:25 10
9
(9:7778 10
6
)[25 10
6
9:7778 10
6
]
¼ 0:1860 10
6
people=year (1:55)
in close agreement with the estimate of (d=dt)P(t)j
t¼50Dt
.
Further scrutiny of the logistic growth model, Equation 1.43, reveals several important and
noteworthy characteristics of the underlying population dynamics. Expressing the model in a
slightly different form
g(P) ¼
1
p
dP
dt
¼ c(P
m
P)(1:56)
where g(P), the rate of change in popula tion dP=dt divided by the population P, is called the
population growth rate. Different population models are normally ...
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Publisher Resources

ISBN: 9781439836736