If you are looking to mirror a device on your Mac screen here is a good option, to start with. AirServer is an Airplay receiver for Mac/PC. It allows you to receive Airplay similar to an Apple TV so you can stream content or mirror your display from your iOS.
AirServer – 3.1.2 (Tiger/Leopard) PowerPC friendly – Download here: http://www.airserver.com/en/Download/Mac
They have different licenses with different prices starting from $3.99 to $14.99, check which one best fits your needs.
For more informations: http://www.airserver.com/