What does the population growth model equation mean? dN/dt=rN
This is a rather simple and impractical equation because it signifies an Exponential Population Growth. If you are familiar to the Future Value of a compounded interest rate,
dN/dt = rN : a differential equation describing the population growth
where N is the population size, r is the growth rate, and t is time.
N as the population size, r is growth rate, K is carrying capacity.
This equation forces, populations to converge to the carrying capacity. The speed at which the populations approach K is related to the growth rate r.