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
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).