Question

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)

• A. When N/K is exactly one
• B. When N nears the carrying capacity of the habitat
• C. When N/K equals zero
• D. When death rate is greater than birth rate

Answer 1

The correct option is A When N/K is exactly one

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 zero.

Thus, the correct answer is option A.