How do we convince my brother that he can no longer take care of our mother? She can no longer get out of bed. He has health issues as well.

If your mom is bed-bound her health will deteriorate rapidly. Immobility is the worst thing for the body.

You said that you didn't know where to start the process. The process of getting her into a nursing home? Tour a few, pick one you like, and they'll help you get the ball rolling.

Your mom's life is liable to improve in a nursing home. They'll get her up, she'll get to go to activities, there are people around all the time. It would probably be better for her than laying in a bed all day with nothing to do and no outside stimulation.

I have tried to bring up the subject of more help and she changes the subject. she knows my brother can not take care of her she has told me it is hard for him. i do not know where to start the process. i would rather have her mad and alive then dead

Will she agree to move to a nursing home? If not, you have to pursue Guardian status and ask the judge to approve the move as part of the court order.