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X. X. Liu and L. H. Huang, “Permanence and Periodic Solutions for a Diffusive Ratio-Dependent Predator-Prey System,” Applied Mathematical Modelling, Vol. 33, February 2009, pp. 683-691. doi:10.1016/j.apm.2007.12.002

has been cited by the following article:

• TITLE: Existence of Periodic Solution for a Non-Autonomous Stage-Structured Predator-Prey System with Impulsive Effects

  AUTHORS: Lifeng Wu, Zuoliang Xiong, Yiping Deng

  KEYWORDS: Periodic Solution, Coincidence Degree Theory, Stage-Structured, Impulsive

  JOURNAL NAME: Applied Mathematics, Vol.2 No.3, March 24, 2011

  ABSTRACT: In this paper, we studied a non-autonomous predator-prey system where the prey dispersal in a two-patch environment. With the help of a continuation theorem based on coincidence degree theory, we establish sufficient conditions for the existence of positive periodic solutions. Finally, we give numerical analysis to show the effectiveness of our theoretical results.