An ailing Wade came in off the bench for just the 10th time in his career after falling ill enough with the flu that he needed a pre-game IV.
Wade finished with 10 points and seven assists in 19 minutes of playing time in front of a crowd of 19,700 at American Airlines Arena.
Whiteside matched a career high in points and set a season high in rebounds for the Heat, who improved to 19-13 and snapped a two-game losing skid.
"That's the type of identity we are trying to build," said Heat coach Erik Spoelstra. "This offence is going to happen in layers. What we are trying to develop is a team that shares."
Spoelstra said Wade felt nauseous before the game, which is when he received the IV.
The last time Wade was used in reserve in an NBA game was January 2014 against the San Antonio Spurs.
Guard Tyler Johnson replaced Wade as the starter. It was the first start of the season and just the third of Johnson's career.
Dirk Nowitzki was held to just 11 points for the Mavericks, who never led and had their four-game winning streak halted. The German star shot just four-of-14 from the floor.
The Mavericks failed to score a fast-break point and shot just 36 percent from the floor.
Mavericks point guard Jose Juan Barea, who averaged 22.3 points in his previous four games, finished with just six points in his return to his hometown.
The Mavericks got off to a poor start, shooting 21.7 percent from the field in the first quarter and missing all seven three-point attempts. That allowed the Heat to compile a 22-10 lead at the end of the quarter.
Wade entered the game with 7:45 left in the second quarter and Miami ahead 36-22.
Miami extended its lead to 58-45 at the half. Wade had five assists in eight minutes as the Heat shot 66.7 percent in the second quarter. Whiteside had 18 points and 13 rebounds at the half.
After three quarters, the Heat stretched their lead to 80-61. Miami shot 57.9 percent from the field in the third quarter.
- Raptors rally to beat Hornets -
At Air Canada Centre arena, Toronto guard DeMar DeRozan scored 23 points and the Raptors defeated the Charlotte Hornets 104-94.
The Raptors overcame an eight-point deficit after three quarters to seize control of the contest in the fourth.
Point guard Kyle Lowry tallied 18 points and 11 assists for the Raptors, who have won two straight.
Centre Jonas Valanciunas grabbed 13 rebounds and scored 10 points while forwards DeMarre Carroll and Patrick Patterson added 14 points each.
Centre Bismack Biyombo came in off the bench to post 11 rebounds and score six points in the win.
Guard Kemba Walker scored 18 points and forward Marvin Williams scored 17 for the Hornets, who have lost two in a row.
Cody Zeller added 15 points and nine rebounds for Charlotte, while guard Nicolas Batum had 14 points and centre Frank Kaminsky added 13 points.
source: www.abs-cbnnews.com
