Logistic function

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"The logistic equation (sometimes called the Verhulst model or logistic growth curve) is a model of population growth first published by Pierre Verhulst (1845, 1847). The model is continuous in time."

See

  1. Logistic Equation at Wolfram MathWorld
  2. Fitting a logistic curve to data with Matlab
  3. Fitting a logistic curve to data with Excel