is it bad?

My child's father more or less said if i keep it we are done. I want to keep my baby.
Is it a bad idea if anyone asks to say he is dead? 
I haven't told my parents yet and i am three months gone. 
Update: I know i sound crazy to say that. But my thoughts of one day getting asked by my child why they don't have a daddy. My family never knew about him to begin with as i was private with it so now I'm pregnant they will be demanding an explanation.