India and England will play three ODIs, which is part of the ICC's Women's championship, and three T20Is.
Taylor and Brunt, who missed England's march to the World T20 final, will fly out with the squad to take part in the ODI series in Mumbai.
However, Taylor will head home after the ODI series, while Brunt will be available to take part in the IT20 series.
Jenny Gunn, meanwhile, has been given a break from both series after years of touring and will report back in April.
"We've looked to use as many players as we can to give everyone an opportunity as we head into a busy year. We've included 18 players across the squads and they'll come in and out as the tours progress as we look to improve our strength in depth," England coach Mark Robinson said.
"We've got a huge Ashes series in the summer, as well as hosting the West Indies, and obviously there are ICC Women's Championship points up for grabs across both of these tours so there's hard work ahead of us but we're excited."
England Women ODI squad: Tammy Beaumont, Katherine Brunt,
Kate Cross, Sophia Dunkley, Sophie Ecclestone, Georgia Elwiss, Alex Hartley, Amy Jones, Heather Knight, Laura Marsh, Nat Sciver, Anya Shrubsole, Sarah Taylor, Lauren Winfield, Danni Wyatt.
England Women IT20 squad: Tammy Beaumont, Katherine Brunt, Kate Cross, Freya Davies, Sophia Dunkley, Sophie Ecclestone, Georgia Elwiss,
Amy Jones, Heather Knight, Laura Marsh, Nat Sciver, Anya Shrubsole, Linsey Smith, Lauren Winfield, Danni Wyatt.