Malthusian Growth Model

r = 0.18

R = 1.2

r = –0.22

R = 0.8

dN/dt = rN Nt+1=RNt

Nt = N0exp(rt) Nt = RtN0

Nt+1 = Ntexp(r) DN/Dt = (R–1)N

Source: Applied Biomathematics (2000)

TIME t

ABUNDANCE (N)