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Question

Biology Question on organisms and populations

Asymptote in a logistic growth curve is obtained when :

A

K = N

B

K > N

C

K < N

D

The value of 'r' approaches zero

Answer

K = N

Explanation

Solution

A population growing in a habitat with limited resources shows logistic growth curve.
For logistic growth
dNdt=rN(KNK)\frac{d N}{d t}=r N\left(\frac{K-N}{K}\right)
If K=NK = N then KNK=0\frac{ K - N }{ K }=0
\therefore the dNdt=0\frac{ d N }{ dt }=0,
the population reaches asymptote.