Global attractivity of a nonautonomous logistic difference equation with delay

Abstract

Consider the nonautonomous delay logistic difference equation Δy n= 1− y n−k n λ where { p n } n≥0 is a sequence of nonnegative real numbers, { k n } n≥0 is a sequence of positive integers, n − k n is nondecreasing, lim n →∞( n − k n ) = ∞, and λ is a positive constant. We obtain new sufficient conditions for the global attractivity of the equilibrium λ of equation (1.1), which improve some recent results established in [1].