Howard's layup put Jackson State up 42-38 with 10:55 remaining and after Jordan Berry gave the Tigers a 48-43 lead with just less than six minutes left, Howard added another 3 to make it 51-45 three minutes later.
On UAPB's final possession, Martaveous McKnight took an inbounds pass at midcourt but his contested last-second heave bounced off the front of the rim.
Maurice Rivers chipped in eight points and nine rebounds for Jackson State (12-17, 9-7 Southwestern Athletic Conference). Collins, Howard and Rivers combined to grab all but six of the Tigers' 37 rebounds, while Collins had four -- and Rivers three -- of JSU's 10 steals.
Travon Harper led UAPB (11-20, 11-6) with 10 points and nine rebounds.
Mike Krzyzewski switched to zone last season to mask his young team's defensive frailties. Will we see that again in 2018-19?
The cream of the crop of American high school basketball will congregate in Colorado Springs from Oct. 5-7, as USA Basketball unveils its newly expanded Junior National Team minicamp in collaboration with the NBA, NCAA and NBPA.
Missouri guard Cullen VanLeer is retiring from basketball after tearing his ACL in the Tigers' final regular-season game last season.