logistic

diffeqzoo.ivps.logistic(*, initial_value=0.1, time_span=(0.0, 2.5), parameters=(1.0, 1.0))

Construct the logistic ODE model.

The logistic ODE is a differential equation model whose solution exhibits exponential growth early in the time interval, and approaches a constant value over time.

It is a differential equation version of the sigmoid and the logistic function. The logistic ODE has a closed-form solution.

Note

Help wanted!

If you know which paper/book to cite when the logistic ODE is used in a paper, please consider making a contribution.