The Aussie singer, 39, took to Twitter to thank fans for their kind messages and to wish them a happy Christmas.
Peter said: "Merry Christmas to all of you. Be safe and thank you very much for your support."
Other than this tweet, Peter has remained publicly silent since Andrew's death on Sunday 16 December.
The next instalment of Peter's ITV2 reality show, which was due to air three days later, was also postponed, as it featured Andrew in the opening scenes. It returned to our screens last night (27 December).
Andrew was first diagnosed with cancer in February and Peter flew him to the UK from Australia so he could live with him while receiving treatment.
But although it was hoped he would pull through, 54-year-old Andrew took a turn for the worse at the beginning of this month and Peter decided to delay his tour.
Peter and his family, including his parents, were at Andrew's bedside when he died, along with Andrew's wife.
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