Regarding Construct in Class

A static method can be invoked without the need for creating an instance of a class.

module example();

class static_ex;

static task display();
int a;
a++;
$display("Welcome to static world");
$display("A is %0d",a);
endtask
endclass

initial
begin
static_ex stat_h;

//Choice 1: Using scope resolution
static_ex::display();

//Choice 2: Using class handle
stat_h.display();
end
endmodule

Any of the above two choices will satisfy your requirement.

Regards,
Vinay