What is a durable subscription - JMS.

 A durable subscription saves messages for an inactive subscriber and deliveres these saved messages when the subscriber reconnects. In this way, a subscriber will not loose any messages even though it disconnected. A durable subscription has no effect on the behavior of the subscriber or the messaging system while the subscriber is active (e.g., connected). A connected subscriber acts the same whether its subscription is durable or non-durable. The difference is in how the messaging system behaves when the subscriber is disconnected.

Use a Durable Subscriber to make the messaging system save messages published while the subscriber is disconnected.

Source:  http://www.eaipatterns.com/DurableSubscription.html

The durable subscription only apply to the topic of the JMS.