In a forest, there are initially $100$ deer. Over a certain period, $30$ are born and $10$ die. Assuming food is abundant and predators are few, calculate the intrinsic rate of natural increase for that population.

Members of a certain insect species show a massive increase in population during the rainy season,decrease in number as winter approaches,and disappear by the end of winter. What does this indicate?

If in a population of size $N$,the birth rates are represented as $b$ and death rates as $d$,then the increase or decrease in $N$ during a unit time period $t$ will be:

Zero growth of population is indicated by

When environmental conditions are favourable,then the population growth curve will be

Exponential growth cannot be sustained for a long time due to:
$I.$ Limited space and nutrients
$II.$ Accumulation of toxic agents
$III.$ Unlimited space and nutrients
$IV.$ Accumulation of nutrient agents
Choose the correct combination of options: