Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (6): 1613-1622.

• Articles • Previous Articles     Next Articles

Multiple Periodic Solutions for a Delayed Stage-Structure Predator-Prey Systems |with Harvesting Rate and Diffusion

  

  1. Mathematical College, Sichuan University, Chengdu |610064;
    Department of Mathematics and Computer Science, Liuzhou Teachers College, Guangxi Liuzhou 545004
  • Received:2007-11-30 Revised:2008-09-30 Online:2009-12-25 Published:2009-12-25
  • Supported by:

    国家自然科学基金(10671133)资助

Abstract:

In this paper, the author studies the existence of periodic solutions for a delayed stage-structure predator-prey
system with harvesting rate and diffusion. By developing some technique of analysis and using continuation theorem based on coincidence degree, some sufficient conditions are derived, under which this system has at least four positive periodic solutions.

Key words: Harvesting rate, Monotonic functional response, Diffusion, Stage-structure predator-prey system, Positive periodic solution, Coincidence degree

CLC Number: 

  • 34K20
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