Phase of accelerated growth of logistic growth curve is . . . . . . .

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

The intrinsic rate of natural increase is represented by which of the following?

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

Under which of the following conditions is the logistic population growth curve obtained?

$I.$ 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.