The carrying capacity of a population is the maximum number of individuals a population can cater for or handle at a specific time, often limited by the available resources.
A population that has reached its carrying capacity has a population size that oscillates a little above or below the maximum the environment can support.
<em>Hence, if the birthrate and the death rate of the bison population that has reached its carrying capacity are equal to each other, the rate of immigration and emigration will be at equilibrium with each other.</em>