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Question

Asymptote is a logistic growth curve is obtained when-


A

The value of ‘r’ approaches zero

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B

K = N

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C

K > N

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D

K < N

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Solution

The correct option is B

K = N


The correct option is B.

The explanation for the correct option:

  1. A growth curve represents population growth over a period of time.
  2. Asymptote in a logistic curve is obtained when carrying capacity(K) is equal to the number of individuals in the population(N).
  3. The line of the graph will be constant up to a point when there is an increase in population or decrease in resources (due to various reasons).

The explanation for incorrect options:

Option A:

When r=o, the population is not increasing, it is stable.

Option C:

When K>N, the population grows and the curve is not asymptote.

Option D:

When N>K, the population growth becomes negative and it shrinks back to a population size at which the growth rate becomes zero.

The final answer: Asymptote in a logistic growth curve is obtained when K = N.


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