Question

In the following equation of Verhulst - Pearl logistic growth, the letter 'r denotes _______
$\frac{dN}{dt}=rN(\frac{K-N}{K})$

• A. Extrinsic rate of natural increase
• B. Intrinsic rate of natural increase
• C. Carrying capacity
• D. Population density

Answer 1

The Correct Option is B

Verhulst-Pearl Logistic Growth Equation:

$$ \frac{dN}{dt} = rN\left( \frac{K - N}{K} \right) $$

Where:

• $ N $: Population size at time $ t $,
• $ \frac{dN}{dt} $: Rate of change of the population size with respect to time,
• $ r $: Intrinsic rate of natural increase (growth rate under ideal conditions),
• $ K $: Carrying capacity (maximum sustainable population size),
• $ \left( \frac{K - N}{K} \right) $: Fraction of carrying capacity available for growth.

The correct answer is (B) Intrinsic rate of natural increase.

Answer 2

The Verhulst-Pearl logistic growth equation is represented as: \[ \frac{dN}{dt} = rN \left( \frac{K - N}{K} \right) \] where: - \( \frac{dN}{dt} \) = rate of population growth - \( N \) = current population size - \( K \) = carrying capacity (maximum population size the environment can sustain) - \( r \) = 

The correct answer is (B) Intrinsic rate of natural increase.