The population of an insect species shows an explosive increase in numbers during the rainy season,followed by its disappearance at the end of the season. What does this show?

For the Verhulst-Pearl Logistic Growth equation $dN/dt = rN \left(\frac{K-N}{K}\right)$,what does $K$ indicate?

Rapid decline in a population due to high mortality rate is known as:

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).

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

The term for the maximum population growth under ideal conditions is .........