Did this person do constant and diligent work on your family, over years and years? Is there anyone else, perhaps a younger family member, who would continue this work?
If not, then once this person is dead, then you will obviously be rid of the renewed attacks, which is good news. What Linda said is true, though, that magic continues to work on its own, but the good news is it will fizzle out over time, especially now that the caster is no longer alive to continue the work.
What you can do now is cleansing work - cleansing of your house and all affected family members, followed by uncrossing/un-jinxing work, followed by more cleansings and blessing work both on the house and family members. I'd also erect some sort of house/family protections as well. You should see improvements almost immediately.
I can post more specific recommendations later when i have more time. I'd do a search on the Lucky Mojo website under the terms "cleansing," "uncrossing," and "protection."