Journal of East China Normal University(Natural Sc ›› 2010, Vol. 2010 ›› Issue (6): 178-185,.

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Existence of positive periodic solution for a kind of predator-prey systems

LIU Xing-bo, HE Liu-rong   

  1. Department of Mathematics, East China Normal University, Shanghai 200241, China
  • Received:2009-12-01 Revised:2010-03-01 Online:2010-11-25 Published:2010-11-25
  • Contact: LIU Xing-bo

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Abstract: A non-autonomous predator--prey diffusive system of three species with delay was analyzed. By using Gaines and Mawhin's continuation theorem of coincidence degree theory, some sufficient conditions for the existence of positive periodic solution were established for the system.

Key words: positive periodic solution, coincidence degree, predator-prey system, positive periodic solution, coincidence degree

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