Question

When does the growth rate of a population following the logistic model equal zero? The logistic model is given as dN/dt= rN(1 − N/K ):

• A. When N/K is exactly one
• B. When N nears the carrying capacity of the habitat
• C. When N/K equals zero
• D. When death rate is greater than birth rate

Answer 1

The correct option is A When N/K is exactly one

In logistic growth model population growth equation is described as :

dN/dt= rN(1 − N/K )
where,
N = Population density at time t
r = Intrinsic rate of natural increase
K = Carrying capacity

Therefore,
When N/K = 1
dN/dt= rN(1 − N/K )
dN/dt = rN(1 - 1)
dN/dt = 0

Hence, the growth rate of a population following the logistic model equals zero when N/K is exactly one.