Which of the following is considered as a more realistic growth model?

Which of the following is the correct equation for Verhulst-Pearl logistic growth?

In India,the human population has a large number of young individuals. This is because of:

Match the following columns:

Column-$I$ (Value of $r$)	Column-$II$ (Example)
$P. 0.12$	$I$. Flour beetle
$Q. 0.015$	$II$. Norway rat
$R. 0.0205$	$III$. Human population in India in $1981$

The capacity of the environment in which a species can get maximum nutrition is called:

Read the following statements and determine how many of them are correct:
$(1)$ Population is the total number of individuals of a species in a given area at a given time.
$(2)$ Developed countries show a low birth rate.
$(3)$ An equal proportion of reproductive and post-reproductive age individuals indicates a stable population.
$(4)$ In the presence of limited resources,the growth curve is sigmoid ($S$-shaped).