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In the logistic growth equation, dN/dt = rN(1 - N/K), where N represents population density at time t, r is the intrinsic growth rate, and K is the carrying capacity. If N/K equals 1, then 1 - N/K becomes 0, making dN/dt equal to 0. Is this statement accurate?
- True
- False
- Indeterminate
- Not applicable
Correct answer: True
Solution
In the logistic growth model, when N/K = 1, it implies that the population density (N) has reached the carrying capacity (K). At this point, 1 - N/K = 0, making dN/dt = 0, which means population growth stops. Hence, the statement is true.
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