Just make a simple, basic cheesecake. Tyler Florence's recipe on foodnetwork is the best.
Then to make the swirl, you'll need to make a strawberry sauce, with no seeds or chunks, and mix part of the cheesecake mixture with that. Then add your cheesecake in a crust, then on top of that, you add a little dollop of the strawberry mixture, then take a knife and cut down into the pie and drag it a little, so it makes the design of the swirl. Do that until you have a nice swirl. Bake it in a water bath, so it doesn't crack on top.
It's not easy to do it.