Existence and global asymptotic stability of positive periodic solution for a Predator–Prey system with mutual interference

In this paper, a Predator–Prey system with mutual interference is studied. Some sufficient conditions are obtained for the existence and global asymptotic stability of positive periodic solution for the system by utilizing Mawhin’s coincidence degree theorem and constructing a suitable Lyapunov functional. It is interesting that our results depend on the mutual interference constant. Furthermore, an example is illustrated to verify the results by simulating.