Logistic growth with r = 0.5 per year and K = 1000, graphed against population size. On top, the growth rate dN/dt is a hump that is 0 at N = 0 and at K, with its peak marked at N = K/2. Below, the per capita growth rate falls in a straight line from 0.5 to 0 at the carrying capacity, which is a dashed line on both graphs.