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Topic: Population attributes: growth, birth and death rate, age distribution· Ecology and Environment

When does the growth rate of a population following the logistic model equal zero ? The logistic model is given as dN/dt = rN(1-N/K) :

1. when N/K is exactly one.

2. when N nears the carrying capacity of the habitat.

3. when N/K equals zero.

4. when death rate is greater than birth rate.

1 answer

Best answer

Answer: 1. when N/K is exactly one.

Logistic growth: \(\dfrac{dN}{dt}=rN\left(1-\dfrac{N}{K}\right)\).

The growth rate is zero when \(1-\dfrac{N}{K}=0\), that is when \(N/K=1\) exactly (N equals the carrying capacity K).

"Nears K" means growth is small but not exactly zero. If \(N/K=0\) the growth rate is \(rN\), which is positive.

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