Question

What is the formula for logistic growth, if $r$ stand for the intrinsic rate of growth, $N$ for the number of organisms in a population, and $K$ for the carrying capacity?

• A. $rN(N-K)/K$
• B. $rN(N-r)/rK$
• C. $rK(K-N)/rN$
• D. $rK(r-N)/K$
• E. $rN(K-N)/K$

Answer 1

The correct option is E $rN(K-N)/K$

The logistic growth curve (J-shaped curve) shows population growth when resources are limited. Carrying capacity is the maximum size of the population of a species that a certain environment can support for an extended period of time. The logistic growth equation can be given as dN/dt= rN (K-N/K). Here, r = the intrinsic rate of growth, N = the number of organisms in a population, and K = the carrying capacity. Thus, the correct answer is E.