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Question:

When does the growth rate of a population following the logistic model equal zero?

When N/K is exactly one

When N nears the carrying capacity of the habitat

When death rate is greater than birth rate

When N/K equals zero

Solution:

Logistic growth of a population size occurs when resources are limited. The formula we use to calculate logistic growth adds the carrying capacity as a moderating force in the growth rate. The logistic model is given as dN/dt = rN(1-N/K). When the value of N/K is one, then, dN/dt = rN(1-N/K); dN/dt = rN(1-1); dN/dt = rN(0); dN/dt = 0 (zero). So, the growth rate of population will be equal to zero when the value of N/K is equal to one. Thus, the correct answer is option A.