SAN FRANCISCO — Apple plans to start an iPhone trade-in program this month aimed at getting users to upgrade to the iPhone 5 and turn in older models.

Apple has reportedly teamed up with Brightstar Corp., a mobile-phone distributor, to run the exchange program.

Brightstar also handles trade-ins for AT&T and T-Mobile US, as well as other carriers and device makers, amid brisk demand for refurbished iPhone 4s and 4Ss in emerging markets.

By offering money for older smartphones, Apple Chief Executive Officer Tim Cook is seeking to entice consumers to upgrade to the latest models, part of the company’s efforts to reignite sales growth and combat declining shares.