Davis was backed by Jerrold Brooks, who had 12 points, and Michael Craig, who chipped in seven points, nine rebounds, three assists and three steals for Southern Mississippi (6-0).
The win was the Golden Eagles' 17th consecutive at home - the sixth longest streak in the country - including 24 straight nonconference home games.
Denver (1-4) was paced by Royce O'Neale, who had a career-high in 22 points and five 3-pointers on 11 attempts.
Southern Mississippi led 23-15 at halftime and used a 14-5 run early in the second half to take a 41-24 advantage.
The Golden Eagles shot 50 percent (19 of 38) from the field to Denver's 33.3 percent (18 of 54), and made 19 free throws against the Pioneers' five.
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