Storm door closer with timer
They can usually be adjusted to close more slowly; fancier (and more expensive) ones (two stage) can close slowly, then faster at some point, but other than electrified/automated (think handicap access button and much more expensive) I don't think you'll find any that just wait, fully open.
Most basic closers include a stop to hold the door open, if you are carrying something into the house - that needs to be manually set and released. Some commercial (fancier and more expensive) closers include an easier &quot;hold-open&quot; where you just push the door a bit further than usual and a spring-loaded detent holds it until you pull it closed. In both cases you'll need to go back and close the door when you are done needing it open.