AM  Vol.2 No.1 , January 2011
Permanence and Global Stability for a Non-Autonomous Predator-Prey Model with Modified Leslie-Gower and Holling-Type II Schemes with Delays
Author(s) Lin Hu, Linfei Nie
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

Cite this paper
nullL. Hu and L. Nie, "Permanence and Global Stability for a Non-Autonomous Predator-Prey Model with Modified Leslie-Gower and Holling-Type II Schemes with Delays," Applied Mathematics, Vol. 2 No. 1, 2011, pp. 47-56. doi: 10.4236/am.2011.21006.
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