Read the following article to troubleshoot this issue in a Hybrid-Cloud environment. For an On-Premises environment, see here.
Issue
You see a red banner error in the Incidents pane which indicates you have exceeded the 1000 incidents quota. Your monitors might also appear red in the Real-Time DX Console, and upon further inspection, the monitor settings window might also display the Incidents quota message.

Reason
Each customer has a quota of 1000 incidents per day, so after you exceed the quota, no additional incidents will be saved. But alerts will keep working as you defined in the triggers.
Out of the box, you receive predefined triggers:

Most predefined triggers don't have a filter, thus in some environments, you might exceed the limit.
Solution
Make sure to review all triggers and define them according to your needs. You can disable the triggers you don't need and edit the ones you do, by narrowing them down using the filter editor. For more information about how to create and edit a trigger alert, see here
After verifying the triggers settings, if the issue persists, please contact ControlUp support and open a support ticket.