Sigmoid growth curve is represented by

The above graph indicates . . . . . . with relation to population.

When births are equal to deaths,it is called:

The carrying capacity of the Earth for the human population is estimated to be approximately:

Given below are two statements:
Statement-$I$: $A$ population growing in a habitat with limited resources shows initially a lag phase.
Statement-$II$: $A$ population growing in a habitat with limited resources shows finally an asymptote phase.

The integral form of the exponential growth equation is $N_{t} = N_{0} e^{rt}$. Identify $A, B, C$,and $D$ from the given equation where:
$A$: Population density after time $t$
$B$: Population density at time zero
$C$: Intrinsic rate of natural increase
$D$: The base of natural logarithms $(2.71828)$