Gompertz curve

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A Gompertz curve, named after Benjamin Gompertz, is a type of mathematical model for a time series, where growth is slowest at the start and end of a time period.

y(t)=ae^{be^{ct}}

where

Graphs of Gompertz curves, showing the effect of varying one of a,b,c while keeping the others constant.
Graphs of Gompertz curves, showing the effect of varying one of a,b,c while keeping the others constant.













Examples of uses for Gompertz curves include:

  • Mobile phone uptake, where costs were initially high (so uptake was slow), followed by a period of rapid growth, followed by a slowing of uptake as saturation was reached.
  • Population in a confined space, as birth rates first increase and then slow as resource limits are reached.


[edit] See also

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