Which of the following is correct

$I.$ In a population, birth rate and death rate refer to per capita births and death respectively

$II.$ In nature, we rarely find isolated single individuals of any species

$III.$ The size of population for any species is stable phenomena

$IV.$ Ecological effects of any factors on a population growth are generally reflected in its size/population density

Maximum survival and reproductive capacity shown by a population under optimal environmental conditions is called

The equation of Verhulst-Pearl logistic growth is $\frac{\mathrm{dN}}{\mathrm{dt}}=\mathrm{rN}\left[\frac{\mathrm{K}-\mathrm{N}}{\mathrm{K}}\right]$.

From this equation, $\mathrm{K}$ indicates:

In a population, the condition at which the rate of addition of new members is more than the rate of individuals lost indicates

Which option is correct for curve $a$ and $b$ ?

$[Image]$

Equation for equation for Type of Type of

Curve $(a)$ curve $(b)$ curve $(a)$ curve $(b)$

Comment on the growth curve given below.