A population will not change in size if the:
birth rate equals the emigration rate. birth rate equals the death rate, and the immigration rate equals the emigration rate. birth rate equals the immigration rate, and the death rate equals the emigration rate. death rate equals the emigration rate.
A population will not change in size if the birth rate equals the death rate, and the immigration rate equals the emigration rate.
This means that the number of individuals being added to the population through births and immigration is balanced by the number of individuals leaving the population through deaths and emigration, resulting in a stable population size.