No it's not the logistic function. Sigmoid is a general term of the shape, logistic specifically refers to an equation that's almost certainly not correct. It'

No it's not the logistic function. Sigmoid is a general term of the shape, logistic specifically refers to an equation that's almost certainly not correct. It's probably close to stretched exponential, which is a reasonable approximation of the curve of an autocatalytic process that is controlled by stochastic collisions that can self-exhaust, but even that's not exactly correct.