Journal of Shanghai University(Natural Science Edition)

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Existence of Positive Periodic Solution for a Delay Leslie-Predator-Prey Sys
tem with Impulsive Effect

LIANG Zhi-qing1,2,ZHAO Qiang1,ZHOU Sheng-fan2,3   

  1. 1. Department of Mathematics and Computer Science, Guangxi Yulin Normal University, Yulin 537000, Guangxi, China;
    2. College of Sciences, Shanghai University, Shanghai 200444, China;
    3. Department of Applied Mathematics, Shanghai Normal University, Shanghai 200234,China
  • Received:2006-10-17 Revised:1900-01-01 Online:2008-02-28 Published:2008-02-28
  • Contact: LIANG Zhi-qing1,2

Abstract: By using a continuation theorem based on coincidence degree theory, we study the existence of positive periodic solution for a delayed nonautonomous Leslie predator-prey system with impulsive effect. Sufficient conditions are obtained for the existence of positive periodic solution.

Key words: coincidence degree, Les
lie predator-prey system,
positive periodic solution, impulsive effect

CLC Number: