Logistic Growth
Logistic Growth
A model for a quantity that increases quickly at first and then more slowly as the quantity approaches an upper limit. This model is used for such phenomena as the increasing use of a new technology, spread of a disease, or saturation of a market (sales).
The equation for the logistic model is 
.
Here, t is time, N stands for the amount
at time t, N0 is
the initial amount (at time 0), K is the maximum amount
that can be sustained, and r is the rate of growth
when N is very small compared to K.
Note: The logistic growth model can be obtained by solving the
differential equation 
See also