Existence of Unique Positive Periodic Solution for a Model of Hematopoiesis

摘要

Using a fixed point theorem, we consider the model of hematopoiesis x'(t)=-a(t)x(t)+b(t)∫0-τ k(r)1/1+xn(t+r)dr.Some criteria are established for the existence of the unique positive ω-periodic solution -x of the above equa-tion. In particular, we give the conclusion of conver-gence of xk to -x, where {xk} is a successive sequence.