I would like reminders to pop up and keep popping up at interval until it is properly acknowledged not just dismissed

I would like if possible, for the system ( As an Option as not everyone would like it) for the reminder system in the calendar, to pop up on the desktop or phone not the once and never again, but to be persistent until properly acknowledge not just dismissed. From the the point at which the reminder is set, with a repeat reminder option. ( like a snooze option on an alarm clock.)