Consider the logistic population growth model, given by
\[
\frac{dn}{dt} = r n \left( 1 - \frac{n}{k} \right)
\]
where \(r\) is the intrinsic growth rate, \(n\) is the population size, and \(k\) is the carrying capacity. Which one or more of the following is/are assumption(s) of the model?