Discrete Dynamics in Nature and Society 
Volume 3 (1999), Issue 1, Pages 51-55
doi:10.1155/S1026022699000072

A note on the global attractivity of a discrete model of nicholson's blowflies

B. G. Zhang and H. X. Xu

 Department of Applied Mathematics, Ocean University of Qingdao, Qingdao 266003, China
Received 4 February 1999

Abstract

In this paper, we further study the global attractivity of the positive equilibrium of the discrete Nicholson's blowflies model Nn+1−Nn=−δNn+pNn−ke−aNn−k,        n=0,1,2,…. We obtain a new criterion for the positive equilibrium N∗ to be a global attractor, which improve the corresponding results obtained by So and Yu (J. Math. Anal. Appl. 193 (1995), 233–244).