Question

The equation of Verhulst-Pearl logistic growth is
\(\frac {dN}{dt}=rN[\frac {K-N}{K}]\)
from this equati on, K indicates:

• A. intrinsic rate of natural increase
• B. Biotic potential
• C. Carrying capacity
• D. Population density

Answer 1

The Correct Option is C

The Verhulst-Pearl logistic growth model describes population expansion limited by \( K \), which signifies the environment's carrying capacity.

- \( r \) denotes the intrinsic rate of natural increase.

\[ \begin{array}{|c|c|} \hline \textbf{Symbol} & \textbf{Meaning} \\ \hline K & \text{Carrying Capacity (Maximum population size)} \\ r & \text{Intrinsic Rate of Natural Increase} \\ \hline \end{array} \]

- \( K \) represents the maximum population size sustainable indefinitely by the environment, considering resource constraints.

Therefore, the correct option is (3) Carrying capacity.