When does the growth rate of a population following the logistic model equal zero? The logistic model is…

When does the growth rate of a population following the logistic model equal zero? The logistic model is given as dN/dt=rN1-N/K:
  1. When N/K is exactly one
  2. When N nears the carrying capacity of the habitat
  3. When N/K equals zero
  4. When death rate is greater than birth rate

Solution

In logistic growth model population growth equation is described as dN dt =rN( K−N K )
Where,
N= Population density at time t
r= Intrinsic rate of natural increase
K= Carrying capacity
When N K =1 then
K−​N K =0
Therefore,
dN dt =0

Asked in: NEET 2016 (Phase 1)

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