We formulate and study a three-species population model consisting of the prey A,the prey B and the predator. Our model generates richer, more reasonable and realistic dynamics. We explore the possible control strategies to save or restore the prey A(the prey B) by controlling or eliminating the prey B(the prey A)or the predator when the prey A(the prey B)is endangered. We confirm the existence of the competitor release effect phenomenon, which is a big potential threat to most endemic prey. Specifically, We show that, in an endemic prey-alien prey-alien predator system, eradication of introduced predators alone is not always the best solution to protect endemic insular prey since predator control may fail to protect the indigenous prey when the control of the introduced prey is not carried out simultaneously.
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