Apple iOS in-app purchases provides the product "Auto-renewable subscription". This product will be renewed automatically by Apple.
When you use this type of product, your app has to verify if the auto-renewable subscription is still valid, since the user might have cancelled the subscription. When an user cancel a subscription, the subscription remains valid until the end of the subscription period.
To validate an auto-renewable subscription, you have to use the purchase receipt and the shared secret generated for your app in-app purchases in iTunes Connect. You have to post this two things to the App Store. This will return a JSON and you have to get from this data the "
subscription's latest purchase date". From that date you have to calculate the expiration date and validate or invalidate the subscription.
You can do all this validation after application launch and/or when the model is updated.
Additional information
You can find information about auto-renewable subscription in Apple documentation. Also, you can check about MKStoreKit, which is a framework that reduces the amount of code that you have to write for the use of StoreKit, and supports Auto-renewable subscriptions.