You need to clarify the question-
A "home invasion" is generally seen as a situation where one or more persons force their way into an occupied home with weapons, immobilize the residents, and then steal items. That brings into play the crimes related to robbery, kidnapping, assault with a weapon, etc. in addition to the stealing of the property.
So that kind of call will get a larger response than a call where someone broke in through the back door while no one was home and took some items.
So, for a rough estimate in a larger department, you might have responses like this:
Home break in (no one home):
1-4 officers/detectives (depending on how busy the rest of the area is)- maybe the supervisor stops by. If there is a crime scene unit in the department, they will come by as well, otherwise, the officers/detectives will collect the evidence/photograph the scene, etc.
3-4 police officers, at least 1-2 detectives , the crime scene unit for sure (if there is one) and a supervisor.
If the Home Invasion is still in progress, then every single car in the area that's not already doing something else is going to head that way. You could wind up with SWAT/Detectives/Supervisors/and guys from the other end of the city there if it turns into a barricaded subject/hostage situation.
Sometimes there's Justice...
and sometimes, there's Just Us
In memory of DCLaw- EOW@RealPolice 02-20-2007.
We won't rest 'till we find the mutt.