Help! How do I keep my person living independently?

My elderly person has Borderline personality disorder. They do not want to live alone and are doing everything possible to not live alone. Everything I've read on the internet seems that most elderly want to remain independent as long and as much as possible. Mine does not. There is no physical reason for not being independent, the person is healthy enough physically and mentally. I don't want to give a lot of details because the internet is a lot less anonymous then one would think. My person recently lost their spouse and now is refusing to take responsibility for their life.

I don't know what to do. Living with me is not an option due to the BPD. If you know anything about that you will understand what it is like to be a child of BPD parent.

How do I keep my person living independently?