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An impulsive predator–prey system with modified Leslie–Gower and Holling type II schemes |
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| Authors: | Hongjian Guo Xinyu Song |
| Affiliation: | aDepartment of Applied Mathematics, Dalian University of Technology, Dalian 116024, PR China bDepartment of Mathematics, Xinyang Normal University, Xinyang 464000, PR China |
| Abstract: | An impulsive predator–prey system with modified Leslie–Gower and Holling-type II schemes is presented. By using the Floquet theory of impulsive equation and small amplitude perturbation method, the globally asymptotical stability of prey-free positive periodic solution and the permanence of system are discussed. The corresponding threshold conditions are obtained respectively. Finally, numerical simulations are given. |
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