Permanence, oscillation and attractivity of the discrete hematopoiesis model with variable coefficients

In this paper, we consider the nonlinear delay difference equation with periodic coefficients pn+1−pn=−δnpn+βn1+(pn−ω)m and demonstrate that solutions are permanent. The existence of a positive periodic solution is proven and sufficient conditions for the attractivity of this solution are obtained. Oscillation and nonoscillation about the positive periodic solution is considered.