The health services district created by Article 13 of Chapter 7 of Title 44 of the 1976 Code shall continue in existence under the provisions of such article, provided, however, that the county governing bodies of the counties named in such district shall, not later than January 1, 1977, reconstitute such district under the terms of this article and upon such reconstitution such health services districts shall exist under the terms of this article.

Each person serving on the board on March 2, 1976, shall continue to serve until his term expires unless the county he represents discontinues to be a part of the district in which case and at such time he shall cease to be a member of the board. The successor to a board member provided for in Article 13 of Chapter 7 of Title 44 shall be appointed as provided for in § 44-7-2020 and have his initial term expire as provided for in § 44-7-2030.