Global behaviour of solutions of a nonautonomous delay logistic difference equation, II

Our aim in this paper is to investigate the boundedness, the extreme stability and the periodicity of positive solutions of the nonautonomous delay Pielou logistic equation x(n+1) = a(n)x(n)/1 + x(n-k), n = 0, 1, ... , where {a(n)} is a positive periodic sequence with period p and k is a non-negative integer. This is a continuation of the study initiated in Kocic, Stutson, and Arora [J. Differ. Equ. Appl., 10(13-15) (2004), pp. 1267-1279]. In the case when the above equation has a periodic solution, the explicit sufficient conditions for the boundedness, extreme stability and global attractivity of the periodic solution are obtained.