Global behavior of a discrete haematopoiesis model with several delays

In this paper, we study the difference equation:Δyn=-αyn+∑j=1mβjyn-kj1+yn-kjp,where α∈(0,1),p∈(1,∞),βj∈(0,∞),kj∈{1,2,…},j=1,2,…,m;∑j=1mβj=β,β∈(α,∞). We give some sufficient conditions which guarantee that all solutions of the equation are oscillatory, or that the positive equilibrium of the equation is globally asymptotically stable.