WOLFRAM|DEMONSTRATIONS PROJECT

Exponential Model for Population Growth

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P
0
r
t
dP
dt
= r P
P(t) = P
0
e
r t
Play the animation for consistent time steps.
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t
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P
100
exact
P
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This Demonstration shows unrestrained exponential population growth with graphs and a visual representation of the population. As time progresses, note the increase in the number of dots, as well as the rate of growth. Play the animation for
t
to see the behavior most clearly with discrete time steps. Compare this to the logistic growth model in a companion Demonstration.