Existence and global attractivity of positive periodic solutions for a predator–prey model with modified Leslie–Gower Holling-type II schemes

In this paper, by utilizing the coincidence degree theorem and constructing a suitable Lyapunov function the predator–prey model with modified Leslie–Gower Holling-type II schemes is studied. Some sufficient conditions are obtained for the existence and global attractivity of positive periodic solutions of this model. Furthermore, one example shows that the obtained criteria are easily verifiable.