Indian captain is the top-ranked batsman in both ODIs and T20Is. Anderson continues to be the top-ranked bowler.
Australia vice-captain David Warner said he will undergo intense treatment on his neck after suffering sudden pain during training on Tuesday.
Uncapped seam bowling allrounder Vijay Shankar has been added to the 14-man squad.
Perth Stadium will host the one-day international between England and Australia on January 28.
When the bails were drawn, Indian seamers had reduced the visitors to 75/7 under fading light, in chase of 231.
India were 171 for 1 at stumps, leading Sri Lanka by 49 runs on the fourth day of the rain-hit opening Test in Kolkata on Sunday.
Half-centuries from Mathews and Thirimanne - in tough batting conditions - frustrated India on third day in rain-hit opening Test on Saturday.
India will be touring Sri Lanka in March 2018 to play a tri-nation T20 tournament which will also involve Bangladesh.
The CA XI batted out the final day to draw their four-day tour match with England in Townsville on Saturday.
Dawid Malan century as the tourists built a big lead over Cricket Australia XI in the final Ashes warm-up game in Townsville on Friday.