Logistic regression (Verhulst's logic equation)

Question

I need to build 2 graphics:

1. using logistic regression model
2. using the same model but with Allee effect

I tried using this formula in WolframAlpha but it doesn't show any diagram, and looks like I do something wrong.

So I have 2 questions:

1. How should I write the logistic regression equation including Allee effect?
2. How should I write these formulas in WolframAlfa so that I can see the diagram?

Answer 1

Re. your expression

You could plot the following for various values of r, k and p0

(E^(r t) k p0)/(k - p0 + E^(r t) p0)

Obtained from

With reference to https://mathworld.wolfram.com/LogisticEquation.html