When A population has their carrying capacity the number of births equals number of death.
Explanation:
Carrying capacity of a population is defined as the maximum number of individuals of that population the ecosystem can support.
If a population reaches its carrying capacity then no more individuals can be accommodated in that ecosystem.
Thus theoretically the number of deaths must equal the number of births to maintain a balance in the ecosystem
However, in practical it is often observed that the number of deaths exceeds the number of births when the population nears the carrying capacity as the selection pressure increases..
