Instagram has announced a few new features today, that are going to arrive in its apps for Android and iOS "soon". First off, you'll be able to turn off comments individually for any of your posts. This was previously available "for a small number of accounts", but it will be out for everyone "in a few weeks". When it lands for you, just tap Advanced Settings before you post and check the Turn Off Commenting option. You can turn comments back on at any point after you've posted by using the "..." menu. Also coming soon is the ability to like comments. The familiar heart symbol will be used...
Source: http://www.gsmarena.com/instagram_will_soon_let_you_turn_off_comments_on_any_post_remove_followers_from_private_accounts_-news-22031.php