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K. Gopalsamy, “Stability and Oscillations in Delay Different Equations of Population Dynamics,” Kluwer Academic, Norwell, 1992.

has been cited by the following article:

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

  AUTHORS: Lin Hu, Linfei Nie

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

  JOURNAL NAME: Applied Mathematics, Vol.2 No.1, January 30, 2011

  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