Acta mathematica scientia,Series A

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Stability of Periodic Solution for a Discrete Leslie

Predator-prey System

Liang Zhiqing;Chen Lansun   

  1. Department of Mathematics and Computer, Yulin Normal University, Yulin 537000
  • Received:2004-11-29 Revised:2006-03-08 Online:2006-08-25 Published:2006-08-25
  • Contact: Liang Zhiqing

Abstract: The paper discusses a class of discrete Leslie predator-prey system. The authors obtain the persistence of the system, assuming that the coefficients in the system are periodic and the existence of a periodic solution. Under some additional conditions, the periodic solution is globally stable.

Key words: Leslie predator-prey system, Persistence, Periodic solution, Globally stable.

CLC Number: 

  • 39A11
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