# Math Help - Logistic Models

1. ## Logistic Models

I just have an analytical question about logistic models.

Concerning the formula dP/dt = kP(1 - P/L):

As t increases, the function approaches L, but why is there an extra P term ("kP")??? It seems that the function would have the same behaviour without it.

2. This page explains the parameters in the model.

Logistic function - Wikipedia, the free encyclopedia

3. No, they would not have the same behaviour. If dP/dt= kP, P is an exponential that increases without bound. The "1- P/L" causes P to level off at P= L.