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In this paper, by using comparison principle of differential equations, continuation theorem of coincidence degree theory and Lyapunov function, a delayed predator-prey model with mutual interference and functional response is studied. Some sufficient conditions which guarantee the permanence of positive solutions of the model and the existence and global attractivity of a positive periodic solution of the model are obtained. Some results in the related literature are extended. Furthermore, some numerical simulations have been performed to substantiate our analytical findings.

Existence and global attractivity of positive periodic solutions for a delayed predator-prey model with mutual interference and functional response