I have had many dreams of death (my own) in my life. I'm still here. My own interpretation is that I've had a pretty crappy day the day before. My brain is dumping out a lot of anxiety. That's what I think it means.
Your own death in dreams has the same meaning as the Tarot card, Death, which means A New Beginning. Since someone is pulling you into the grave, I suspect someone is your waking life is "pulling" you into making a change.