From Longman Dictionary of Contemporary Englishdesert islandˌdesert ˈisland noun [countable] SGa small tropical island that is far away from other places and has no people living on it
Examples from the Corpus
desert island• If you were abandoned on a desert island, you would have total personal sovereignty to do exactly what you want.• Carwyn seemed like a castaway on a desert island.• One person can live on a desert island without leader-ship.• But for the moment, it seems he isn't the luxury most women want to take on a desert island with them.• But he was no more comfortable on the radio programme than he would have been on the real desert island.• The witch Sycorax, who died shortly before Prospero arrived, had enchanted the desert island.• His bookishness became useful when he began to study magic on the desert island. 