Question

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 1

Answer: (A)

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