Question

The logistic population growth is expressed by the equation

• A. $dt/dN=Nr\left(\frac{K-N}{K}\right)$
• B. $dN/dt=rN\left(\frac{K-N}{K}\right)$
• C. $dN/dt=rN$
• D. $dN/dt=rN\left(\frac{N-K}{N}\right)$

Answer 1

Answer: (B)

$dN/dt=rN\left(\frac{K-N}{K}\right)$

Population growth rate is measured by the number of individuals in a population (N) over time (t). The term for population growth rate is written as (dN/dt). K represents the carrying capacity and r is the maximum per capita growth rate for a population. Thus, the exponential growth model is restricted by this factor to generate the logistic growth equation:
dN/dT = rmax(dN/dT)= rmaxN((K-N)/K). Hence, the correct answer is option B.