Question: 111. The equation of Verhulst-Pearl logistic growth is \frac{d N}{d t}=r N\left[\frac{K-N}{K}\right]
From this equation, K indicates :
(1) Intrinsic rate of natural increase
(2) Biotic potential
(3) Carrying capacity
(4) Population density
Answer: Option (3)
Explanation:
The Verhulst-Pearl logistic growth equation describes population growth in an environment with limited resources.
In the equation \frac{d N}{d t}=r N\left[\frac{K-N}{K}\right],
N represents population size and r
represents the intrinsic rate of natural increase.
The term K denotes the maximum population size that the environment can sustain.
This maximum sustainable population size is called the carrying capacity of the environment.
As N approaches K,
the growth rate decreases and eventually becomes zero.
Hence, K indicates the carrying capacity.