WOLFRAM|DEMONSTRATIONS PROJECT

Exponential Model for Population Growth

​
P
0
100
r
0.25
t
0.
0.
dP
dt
= r P
P(t) =
P
0
r t
e
Play the animation for consistent time steps.
exact
P
​
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.