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

Question

The geometric increase in population controlled by environmental factors is expressed by the equation: (A) (d t/d N)=Nr(.(K - N/K).) (B) (d N/d t)=rN(.(K - N/K).) (C) (d N/d t)=rN (D) (d N/d t)=rN(.(N - K/K).)

Tardigrade Admin · Accepted Answer

The logistic population growth is expressed
by the equation

d N / d t = rN [\frac{( K - N )}{K}]

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.

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

$\frac{d t}{d N} = N r (\frac{K - N}{K})$

$\frac{d N}{d t} = r N (\frac{K - N}{K})$

$\frac{d N}{d t} = r N$

$\frac{d N}{d t} = r N (\frac{N - K}{K})$

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

dNdt​=Nr(KK−N​)

dtdN​=rN(KK−N​)

dtdN​=rN

dtdN​=rN(KN−K​)

$\frac{d t}{d N} = N r (\frac{K - N}{K})$

$\frac{d N}{d t} = r N (\frac{K - N}{K})$

$\frac{d N}{d t} = r N$

$\frac{d N}{d t} = r N (\frac{N - K}{K})$