Don't die on me/ don't give up on me

The preposition is on all right.
This expression generally means Don't die.

Thanks.
But i think, they are a bit different, i just don't know what it is. Could you explain me more? Cos I want to know the true expression color of using words.

Thanks.

You're right, saying "don't die on me" or "don't give up on me" is a bit different than saying "don't die" or "don't give up." The phrases with "on me" suggest that the speaker is taking it personally -- the speaker will feel personally hurt or abandoned by the death. It shifts the focus from the death itself to how it will affect the speaker. It's sort of like saying to the dying person, "Do

may also mean .. Dont die/give up as long as I m by your side ..

it means(Don't die on me), speaker telling to someone that he/she should not chase him/her anymore. Stop dying on me, means ( Get off from my life)

it means(don't give up on me), speaker telling to someone that he/she should not stop giving up( like if that person wants to be in his/her life), like continue with your effiorts to get me!!!.

should not stop giving up0 person must have meant don't give up.. And the rest of it is correct. This is the meaning.. Don't stop making efforts for me.. Directly suggests the "me" is interested and hopeful.