Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (6): 1013-1021.

• Articles • Previous Articles     Next Articles

Global Attractivity in a Periodic Nicholson's Blowflies Model

 YE Hui, CAI Dong-Han   

  1. School of Mathematics and Statistics, Wuhan University, Wuhan 430072
  • Received:2012-10-08 Revised:2013-08-06 Online:2013-12-25 Published:2013-12-25
  • Supported by:

    国家自然科学基金(71271158)资助

Abstract:

This paper is concerned with a class of generalized Nicholson's blowflies model of which coefficients and delays are periodic functions. Two sufficient global stability conditions for this model are given. In the degenerate case, i.e, the coefficients and delays are all constants, a sufficient global stability condition for the positive equilibrium is also obtained.

Key words: Nicholsons blowflies model, Delay differential equation, Global stability, Positive periodic solution

CLC Number: 

  • 39B22
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