When there is an exponential growth in a population,then it is called as:

Which of the following can be taken as the most convincing factor for indicating the rapid increase in population growth of a country?

$I.$ Populations evolve to maximize their reproductive fitness,also called Darwinian reproductive fitness (higher $r$ value),in the habitat in which they live.
$II.$ The population growth rate $r$ is inversely related to generation time.
$III.$ The housefly,which has a short life span and produces a large number of eggs,could be considered as a '$K$' selected species.
$IV.$ Under a particular set of selection pressures,organisms evolve towards the most efficient reproductive strategies.
$V.$ Life history traits of organisms have evolved in relation to the constraints imposed by biotic and abiotic factors in their habitat.
Select the combination of correct statements.

Which one of the following equations represents the Verhulst$-$Pearl Logistic Growth of population?

Which of the following equations depicts Verhulst-Pearl logistic population growth?

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