The equation of Verhulst-Pearl logistic growth is dN/dt = rN[(K-N)/K]. From this equation, K indicates:

The correct answer is Option 2. Full mathematical solution steps and hints are accessible in the interactive StemCET workspace.

Biology Q116 – NEET-UG 2024

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Home Biology Organisms and PopulationsQuestion #289

The equation of Verhulst-Pearl logistic growth is

\frac{d N}{d t} = r N [\frac{K - N}{K}] .

From this equation,

K

indicates:

Clue 1 of 3: Population Growth Models

Understand the different models of population growth, specifically exponential and logistic growth, and the factors that influence them.

🧠 Full Solution Path

Step 1: Identify the Equation✦ Active

The given equation, $\frac{d N}{d t} = r N [\frac{K - N}{K}]$ , is the Verhulst-Pearl logistic growth model. This model describes how a population's growth rate slows as it approaches the maximum population size that the environment can sustain.

Step 2: Define the Parameters○ Expand

In the logistic growth equation:

- $\frac{d N}{d t}$ represents the rate of change of population size over time.

- $N$ is the current population size.

- $r$ is the intrinsic rate of natural increase (or biotic potential).

- $K$ is the carrying capacity.

💡 Teacher's Secret Hint

It's crucial to distinguish between 'r' (intrinsic rate of natural increase) and 'K' (carrying capacity) as they represent different ecological concepts.

Step 3: Determine the Role of K○ Expand

The parameter $K$ in the logistic growth equation represents the carrying capacity. Carrying capacity is the maximum population size of a biological species that can be sustained indefinitely by a given environment, considering the available food, habitat, water, and other necessities.

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Biology Question 116 – NEET-UG 2024

Clue 1 of 3: Population Growth Models

🧠 Full Solution Path