IPhone 4 still getting messages even after I activated on a different number?

I had an iPhone 4 now I have an iPhone 5. I activated my iPhone 5 today. At first my messages sent to both phones then to the iPhone 5 which was just activated and now they re being sent to my old iphone. What do I do?

Turn the old phone off restart the new phone

Perhaps you have imessage enable… WHICH… Does not matter if you have new number or not because your Apple ID is the same… People can still text to your phone if you use the imessage…

Or give it time… The system still not yet complete the transfer process.