Time Periods - Agent Notifications

With the current solution(s) from ManageEngine is the following scenario possible at all?

We have two different support teams in two different locations.

We need to be able to have alerts/alarms generated being sent out to either team based upon timeperiods.
So for example:

Sunday - Team 1 should get alerts from 9:00-21:00
Sunday - Team 2 should get alerts from 00:00-09:00 and 21:00-24:00
Monday - Team 1 should get alerts from 06:00-21:00
Monday - Team 2 should get alerts from 00:00-06:00 and 21:00-24:00
etc....

Escalations should also be made flexible depending on the timeperiods as different supervisors are on duty.

So far from looking at the products I've not seen anything that could give us this or a similar capability.

Thank you

BH