I think it is a "Formica" type of material. We have it on the table, and the area behind the windshield windows, either side of the step down. I presume it was used there to take the sun, and for hard wearing ability on the table top. Without knowing the issue, you could clean it and treat it with an "Armor-all" type dressing. Works well on the black instrument panel too. If really bad, you could panel over it with new material, in which case, to avoid gluing issues maybe don`t try the Armor-all".
2005 Integrity 386 "Sojourn"