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NEET 2016
Exam
NEET
Year
2016
Subject
Zoology
Chapter
Organisms and Populations

NEET 2016 · Zoology · Organisms and Populations

When does the growth rate of a population following the logistic...

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

Options

  1. AWhen N/KN / K is exactly one
  2. BWhen N nears the carrying capacity of the habitat
  3. CWhen N/KN / K equals zero
  4. DWhen death rate is greater than birth rate

Correct answer

A. When N/KN / K is exactly one

Step-by-step solution

In logistic growth model population growth equation is described as dNdt=rN(K−NK)\dfrac{dN}{dt} = rN( \dfrac{K - N}{K} )

Where,

N=N = Population density at time tr=r = Intrinsic rate of natural increase

K=K = Carrying capacity

When NK=1\dfrac{N}{K} = 1 then

K−NK=0\dfrac{K - \text{}N}{K} = 0

Therefore,

dNdt=0\dfrac{dN}{dt} = 0
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