Verhulst-Pearl logistic growth is described by the equation $\frac{dN}{dt} = rN \left[\frac{K - N}{K}\right]$,where '$r$' and '$K$' represent:

The measure of the inherent capacity of a population to grow is known as:

The main factor in increasing the population is

If a population adds $20$ new individuals per year and the total population after $2$ years is $75$,what was the initial population size?

If $N$ is the population density at time $t$,then at time $t + 1$,the density is calculated as . . . . . . .

$I.$ 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.