Any person who pursuant to the provisions of former § 11-37-16 had a duty to register under that section after having been convicted of any violation of the provisions of chapter 37 of this title, or for a conviction in another state of first degree sexual assault which if committed in this state would constitute a violation of chapter 37 of this title, shall have the duty to register in accordance with the provisions of this chapter. Nothing in this section shall be construed to abrogate any duty to register which exists or existed under the provisions of former § 11-37-16.