1. A method of operating a concurrency manager server application executing on a first processor system of a multi-processor mobile communications device, the concurrency manager server application configured to interact with a concurrency manager client application executing on a second processor system of the multi-processor mobile communications device, comprising: determining priority levels related to access to at least one resource for a first set of applications that are configured for execution on the first processor system and a second set of applications that are configured for execution on the second processor system; notifying the concurrency manager client application of the determined priority levels in order to facilitate the concurrency manager client application to selectively grant or reject access by applications among the second set of applications to the at least one resource based on the notified priority levels; and selectively granting or rejecting, by the concurrency manager server application, access by applications among the first set of applications to the at least one resource based on the determined priority levels.