In this paper, by utilizing the comparison theorem and constructing a suitable Lyapunov functional the predator prey model with modified Leslie-Gower Holling-type II schemes and a deviating argument is studied. Some s...In this paper, by utilizing the comparison theorem and constructing a suitable Lyapunov functional the predator prey model with modified Leslie-Gower Holling-type II schemes and a deviating argument is studied. Some sufficient conditions are obtained for uniform persistence and global attraztivity of positive periodic solutions for this model. Furthermore, an example shows that the obtained criteria are easily verifiable.展开更多
文摘In this paper, by utilizing the comparison theorem and constructing a suitable Lyapunov functional the predator prey model with modified Leslie-Gower Holling-type II schemes and a deviating argument is studied. Some sufficient conditions are obtained for uniform persistence and global attraztivity of positive periodic solutions for this model. Furthermore, an example shows that the obtained criteria are easily verifiable.