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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)
- when N/K is exactly one.
- when N nears the carrying capacity of the habitat.
- when N/K equals zero.
- when death rate is greater than birth rate.
Correct answer: when N/K is exactly one.
Solution
In the logistic model, dN/dt = rN(1−N/K), the growth rate is zero when the product equals zero. For a nonzero population, this happens when 1−N/K = 0, which means N/K = 1, so the population equals the carrying capacity.
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