Global behavior of solutions of a nonautonomous delay logistic difference equation

摘要

Our aim in this paper is to investigate the asymptotic behavior of solutions of the following difference equationx(n+1) = a(n)x(n)/1+x(n-k), n = 0,1,...where {a(n)} is a positive bounded sequence and k is a positive integer. Sufficient conditions for boundedness and attractivity are obtained. The results are applied to the special case when {a(n)} is a periodic sequence with prime period p.