Population density, N(t), as a function of time, t, can be described by the logistic equation (see Section 4.1.1)

N(t) =

K 1 +



K N(0)

− 1



e

−r t

.

The initial population is N(0), and K and r are parameters that describe the population’s dynamics. Find lim t→∞

N(t) and use this to explain what K represents.

It will also be helpful to plot N(t).