Another Question: The logistic equation above, models the r/K selection theory which is the reproductive strategy of organisms.
In stable environments K-selection predominates, as the populations are generally close to the carrying capacity. Characteristics of K-selection organisms are:

Elephants are an example of K-selection species.
How do you think we could model a population of elephants in a stable environment? What adaptions to the logistic equation would we need to make?
In unstable environments, r-selection predominates. Look up examples of r-selection organisms and find their characteristics. Think about individual size, number of children and life span.