Logistic curve can look like S {sigmoid curve}| {standard logistic function}. Sigmoid curve starts at minimum or maximum, always increases or decreases, and ends at maximum or minimum. It has one inflection point, near which it grows linearly. It changes exponentially at beginning and end. Amount or percentage P over time t is P(t) = A * (1 + m * e^(-t/T)) / (1 + n * e^(-t/T)). If A = 1, m = 0, n = 1, and T = 1, P(t) = 1 / (1 + e^-t). dP/dt = P * (1 - P), with P(0) = 1/2 and dP(0) / dt = 1/4.
Arctangent, hyperbolic tangent, and error function make sigmoid curves.
Mathematical Sciences>Geometry>Plane>Curve>Kinds>Logistic
3-Geometry-Plane-Curve-Kinds-Logistic
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Date Modified: 2022.0224