一类Hematopoiesis模型的唯一正周期解的存在性

Existence of the Unique the Positive Periodic Solution for a Class of Hematopoiesis Models

本文考虑了一类Hematopoiesis模型,利用减算子的一个不动点定理,得到该方程存在唯一正周期解的充分条件,改进了已有文献的相应结果。特别地,本文还给出了收敛于该周期正解的迭代数列,即给出了该周期正解的近似表示。进而使本文的结果具有较大的实际应用价值。

In this paper, we consider a class of Hematopoiesis models. Using a fixed point theorem for the decreasing operator, a sufficient condition is obtained to guarantee the existence of unique positive periodic solution for the Hematopoiesis model. Furthermore, some known results are improved. In particular, we also give a successive sequence which converges to the solution. That is, approximations to the solution are given. Consequently, the results in this paper are more valuable in applications.