Periodic solutions, permanence and global attractivity of a delayed impulsive prey–predator system with mutual interference

In this paper, by utilizing the continuation theorem and the comparison theorem, and constructing a suitable Lyapunov functional, a delayed prey–predator system with mutual interference and impulses is studied. Some sufficient conditions are established for the existence of positive periodic solutions, permanence and global attractivity of the system. The conditions obtained are related to the interference constant mm, delays and impulses. An example is given to show the feasibility of the results.