Darrell Williams pulled down 13 rebounds, Moses 11 and Olukemi seven as the Cowboys (6-1) outrebounded the Bears, 48-26.
Chris Henson led Central Arkansas (2-4) with 13 points. Mark Rutledge scored 10 points and Ryan Williams finished with nine, including a pair of back-to-back 3-pointers that drew the Bears to within 52-46 with 5:42 to play.
But the Cowboys, who led 29-23 at halftime, took control with a 9-0 run led by Page's four foul shots and a field goal in transition. Page was 10-of-10 from the foul line.
The Bears hit just 19-of-55 from the floor and committed 16 turnovers.