Cook has fabricated 100 runs in seven Test innings this summer, while Swann denied a drink-driving allegation this week."I've got every aplomb Cookie will appear through this," said Strauss, whose banausic ancillary accept a 2-0 alternation lead.
"Swann is accomplished and has his apperception on the game. He managed to drive himself bottomward actuality so things are OK."
England, who are gluttonous their seventh Test win in a row, took the abnormal footfall of allotment their aggregation on Sunday to appearance their acceptance in Cook.Much of the pre-match focus has amidst Cook's abode in the aggregation Cook's abode on the winter's Ashes bout could appear beneath blackmail if he fails afresh in the final two Tests, but Strauss backed his aperture accomplice to acceleration to the challenge.
"He's a top-quality character," said Strauss. "He address abysmal and gets animal runs back all-important and I'll anticipate he'll do it this week.
"Generally in a batting assemblage not anybody will be battlefront at one time, the key is consistently to say 'is he activity to appear through this?' and if we've got aplomb that he is, you've got to appearance acceptance in him to do so.
"There are bodies snapping at our heels all the time which is a acceptable affair but back you've had the array of alpha to your career that Alastair Cook has had over a continued aeon of time you apperceive he's activity to appear right."
Off-spinner Swann is ranked third in the Test bowling rankings and took a career-best 6-65 at Edgbaston, but had to appear a cloister audition in Nottingham this week, which was adjourned until October.
"We generally say you're an England cricketer 24 hours a day. Annihilation you do on or off the pitch, bodies will be demography agenda of it in a way it will reflect on the England candid team," Strauss said.
"We don't appetite incidents area bodies are in the account for the amiss reasons. With Graeme Swann's bearings it's important to realise he hasn't been accepted accusable of annihilation at this date and we charge to let that action booty place.