The short answer is that you will probably have grounds to terminate his parental rights once he has not visited or paid support for the child for a period of six months or more.
You will definitely need to retain a lawyer to assist you with this process. I wish you and your child the best.
This response is for general informational purposes only. You should not rely upon it as advice about specific legal problems. It does not constitute the rendering of legal advice and does not create any attorney-client relationship.