Question

The geometric increase in population controlled by environmental factors is expressed by the equation:

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

Answer 1

Answer: (B)

The logistic population growth is expressed
by the equation $\text{d} \text{N} / \text{d} \text{t} = \text{rN} \left[\right. \frac{\left(\right. K - N ⁡ \left.\right)}{ K ⁡} \left]\right.$
Where N is population density at time t, r is the Malthusian parameter (rate of maximum population growth) and K is the so called carrying capacity (i.e., maximum sustainable population). It is a type of population growth when resources are limiting.