Permanence and global attractivity of a periodic predator–prey system with mutual interference and impulses

In this paper, we consider a periodic predator–prey system with mutual interference and impulses. By constructing a suitable Lyapunov function and using the comparison theorem of impulsive differential equation, sufficient conditions which ensure the permanence and global attractivity of the system are obtained. We also present some examples to verify our main results.

► A predator–prey model with mutual interference and impulses is proposed.
► The permanence and global attractivity of the system are studied.
► We also present some simulation figures to verify main results.