File:Logistic curve examples.png

English: Some examples of logistic curve. The curves were calculated from the equation

${\displaystyle N={\frac {N_{0}Ke^{rt}}{K-N_{0}+N_{0}e^{rt}}}}$,

where, N is population size, t is time, r is intrinsic rate of natural increase, K is carrying capacity. N₀ is the value of N when t = 0. The value of K for all curves is 100. The value of each set (r, N₀) is (0.5, 150), (2, 50), (1, 25), and (1.5, 1) in order from the top.