Existence and Global Attractivity of Positive Periodic Solutions for a Delayed Predator-Prey Model with Mutual Interference and Functional Response

Abstract

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.