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Permanence and Global Stability for a Non-Autonomous Predator-Prey Model with Modified Leslie-Gower and Holling-Type II Schemes with Delays

DOI: 10.4236/am.2011.21006, PP. 47-56

Keywords: Predator-Prey System, Leslie-Gower and Holling-Type-II Functional Response, Permanence, Global Stability

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Abstract:

In this paper, a nonautonomous predator-prey system based on a modified version of the Leslie-Gower scheme and Holling-type II scheme with delayed effect is investigated. The general criteria of integrable form on the permanence are established. By constructing suitable Lyapunov functionals, a set of easily verifiable sufficient conditions are derived for global stability of any positive solutions to the model

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