Logistic Growth

SD · 25

dN/dt = rN(1−N/K). N saturates at carrying capacity K. Toggle the Hutchinson delay to see oscillations when r·τ > π/2.

r growth rate 0.50

K capacity 100

N₀ initial 5

τ delay 3.0

use delayed (Hutchinson) logistic

t0.0

N—

r·τ—

π/2 threshold1.57

N(t)K (capacity)