Mohammed is making his comeback after more than a year's gap -- he last played against Bangladesh in an ODI in July last year. The 32-year-old has played nine T20Is and also captained the side in the shortest format.
Jason Mohammed scored an unbeaten 91 off 58 balls as West Indies recorded their highest successful one-day international run chase to beat Pakistan in the first of a three-game series on Friday.
Australia and West Indies have played just six ODIs since the World Cup Super League began last year.
Fast bowler Edwards, 39, has been recalled for potentially his first match for West Indies in more than eight years.
Cricket West Indies interim chairman of selectors, Robert Haynes said the selection panel included Allen on the back of his performance at the Caribbean Premier League (CPL) last year and recently at the ICC Men's Cricket World Cup 2019.
Pakistan's Sohail to return home after injury ends England tour
West Indies have named Trinidadian rookies Jason Mohammed and Sunil Narine in their 15-member team for the five One-Day Internationals against India, but once again there was no place for Chris Gayle.
Opener Mayank Agarwal smashed a breezy century as India 'A' recorded a convincing seven-wicket victory over West Indies 'A' in the Tri-Series in Leicester on Monday.
He returns to international cricket after 15 months on the sidelines
India concluded the two-match US leg of the series by taking an unassailable 2-0 lead after notching up a 22-run win in the second game on Sunday.
The Virat Kohli-led Indian side will look to clinch five-match ODI series against West Indies when they play the must-win fifth and the final match at the Sabina Park here on Thursday.
The duo has replaced Jonathan Carter and Kesrick Williams in the squad.
England captain Eoin Morgan blazed a fluent 107 to help secure a 45-run victory over West Indies in the first one-day international at a windy Sir Vivian Richards Stadium in Antigua.
Batsman Darren Bravo has been dropped from the West Indies squad in Zimbabwe for a triangular one-day international series because of "unacceptable behaviour", the West Indies Cricket Board (WICB) said on Saturday.
Sunil Narine, and Dwayne and Darren Bravo all made themselves unavailable for the five-match ODI series, which begins in Manchester on September 19 and concludes in Southampton on September 29.
England beat the West Indies by six runs on the DLS scoring method to take an unassailable 3-0 series lead after rain curtailed what promised to be a thrilling finish to the fourth One-Day International at The Oval on Wednesday.
Joe Root struck an unbeaten 90 as he and Chris Woakes steered England to a four-wicket victory over West Indies in their second One-day international on Sunday.
They made a fast start to their innings with Chris Gayle, dropped by Joe Root in the first over, thumping three huge sixes as the visitors reached 45 without loss after five overs.
It will be a crucial couple of weeks for Shreyas Iyer and Manish Pandey, who are back in the mix after being sidelined from India's 50-over World Cup plans.
The series appeared done and dusted when in the 4th ODI on Sunday India began a modest 190-run chase but their intimidating batting line-up fell short by 11 runs in a stunning turnaround on a slow pitch.
The change in format may bring about some strategic shift in the playing eleven for India with captain Virat Kohli expected to open the innings.
India would be aiming to seal the series with yet another resounding performance against a below-par West Indies.
A formidable India will fancy their chances of taking an unassailable 2-0 lead against a weakened West Indies when the two sides lock horns in the third game of the ongoing five-match ODI series, in North Sound, Antigua, on Friday.
Yuvraj Singh's patchy form and fear of inclement weather will be paramount when India take on the West Indies in the second One Day International, in Port of Spain on Sunday.
With Jason Holder's men just about managing to draw the three-match ODI series against Afghanistan 1-1, there is no doubt that the current Indian team are a few notches ahead in terms of quality.
Captain Virat Kohli smashed an unbeaten century while Mohammed Shami claimed four wickets as India crushed West Indies by eight wickets in the fifth and final match to win the ODI series 3-1, in Jamaica, on Thursday.
A second-string West Indies which never looked like challenging India enough in this series, scored a modest 189 for nine, but sluggish batting by the visitors specially Mahendra Singh Dhoni (54 off 114 balls) turned it into a winning total.
Mahendra Singh Dhoni's late assault and some fine bowling by the spinners saw India crush West Indies by 93 runs in the third One-Day International at North Sound in Antigua, on Friday.
While Ajinkya Rahane always scores good runs, he seldom scores them quickly enough. And he doesn't bowl, although he is a handy fielder. Srinivas Bhogle and Purnendu Maji assess the India-West Indies ODI series.
Ajinkya Rahane smashed his third ODI hundred as India produced a dominating display to beat West Indies by 105 runs in the second one-dayer in Port of Spain on Sunday.
Barring Sri Lanka's Kumar Sangakkara, all players have declared their allegiances to IPL franchises over their respective countries' domestic sides ahead of the upcoming Champions League Twenty20.