Which one of the following equations represents the Verhulst-Pearl Logistic Growth of population?

1. dN/dt = r((K - N)/K)

2. dN/dt = rN((K - N)/K)

3. dN/dt = rN((N - K)/N)

4. dN/dt = N((r - K)/K)

Doubtly Asked 30 Oct 2026 NEET UG 2025 Practice test neet Save WhatsApp Report

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Answer: 2. dN/dt = rN((K - N)/K)

Key idea: The Verhulst-Pearl logistic equation includes the carrying capacity K.

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

When N is small the growth is nearly exponential, and when N approaches K, growth falls to zero. Option 2.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report

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