PERIODIC SOLUTIONS AND PERMANENCE FOR A DELAYED PREDATOR-PREY MODEL WITH MODIFIED LESLIE-GOWER AND HOLLING-TYPE III SCHEMES

In this paper, we study the delayed modified Leslie-Gower predator-prey model with Holling-type Ⅲ schemes. By applying the coincidence degree theorem and the comparison theorem, sufficient conditions for the existence of positive periodic solutions and permanence are obtained, which extend and complement the previously known result. Furthermore, examples show that the obtained criteria are easily verifiable.