Question:
In the following equation of Verhulst - Pearl logistic growth, the letter 'r denotes _______
$\frac{dN}{dt}=rN(\frac{K-N}{K})$
In the following equation of Verhulst - Pearl logistic growth, the letter 'r denotes _______
$\frac{dN}{dt}=rN(\frac{K-N}{K})$
$\frac{dN}{dt}=rN(\frac{K-N}{K})$
Updated On: Apr 9, 2025
- Extrinsic rate of natural increase
- Intrinsic rate of natural increase
- Carrying capacity
- Population density
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The Correct Option is B
Approach Solution - 1
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.
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Approach Solution -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.
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