PORT-AU-PRINCE, Haiti (AP) — As the public appearances of President Jovenel Moïse fade with Haiti's deepening political turmoil, dozens of people from political parties old and new are vying to become the country's next leader as they seize on widespread discontent.

They range from a wealthy businessman with no political experience who owns a chain of grocery stores to veteran opposition leaders trying to gain a stronger foothold in Haiti's politics.

Moïse still has more than two years left in his term after taking office in February 2017 and says he will not step down, but protesters seeking...