The exponential growth shows that the quantity grows at the rate that is directly proportional to the size of the model that describes the exponential growing entity that is \(A= A_{o}e^{kt}\) .The logistic growth is different from the exponential one as there is no thing that can grow owt exponentially. at The mathematical model of logistic function is \(f (t) = c/(1+ae^{-bst})\) So as the value of the time increase the value the entity \(ae^{bt}\) tends to reduces to 0 and f \((t)=c\) that is the limiting size.

Thus, there difference between the logistic growth and exponential is that logistic growth is for quantities and is limited growth and the exponential growth is used for growth that is indefinite.