MD80 CREW RESPONDS TO TCASII RA DURING STAR AT DFW.

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TTT 042 DEG RADIAL 053 DME. FILED TO DFW VIA BYP 3 ARR. RECLRED WILBR 2 DUE TO SKYDIVING ACFT NEAR BYP. FOUND 1 SKYDIVE ACFT ON TCASII WHEN LEVEL 11000 FT ON WILBR 2 AT RADIAL/DME FIX INDICATED ABOVE. I LOOKED AT TCASII DISPLAY TO SEE ANOTHER ACFT POP UP ON TCASII DISPLAY BEHIND FIRST SKYDIVE ACFT FOR JUST A MOMENT; THEN IT DISAPPEARED FROM SCREEN. SECONDS LATER RECEIVED TCASII RA WITH A 'DSND; DSND' MESSAGE AND VSI SHOWING 1500 FPM DSCNT. FOUND ACFT VISUALLY AS I DSNDED. IT CORRESPONDED TO THE SECOND ACFT THAT BRIEFLY APPEARED ON TCASII SCREEN. AFTER APPROX 1000 FT DSCNT; RECEIVED 'MONITOR VERT SPD' MESSAGE; FOLLOWED SHORTLY THEREAFTER BY ANOTHER 'DSND; DSND' MESSAGE. I CONTINUED DSCNT AS ACFT PASSED ABEAM TO THE R. CONTINUED DSCNT WHILE WAITING FOR 'CLR OF CONFLICT' MESSAGE. AFTER REACHING ABOUT 9000 FT; WITH THE ACFT BEHIND US; I DECIDED TO RETURN TO 11000 FT. WE DID NOT RECEIVE A 'CLR OF CONFLICT' MESSAGE. ZFW ADVISED OF RA; AND WE WERE CLRED TO DFW APCH CTL. THE MIX OF SKYDIVING ACFT AND DFW INBOUND ARR ACFT IN THE AREA AROUND BYP IS UNACCEPTABLE. THE WILBR ARR DOES NOT PROVIDE ENOUGH LATERAL SEPARATION BTWN SKYDIVE ACFT AND DFW ARR TFC.