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Existence and uniqueness of almost periodic solutions to discrete mixed monotone hematopoiesis model. (English) Zbl 1431.39007

Summary: This paper is devoted to studying a generalized nonlinear discrete hematopoiesis model with delays. By applying mixed monotone operator fixed point theorem in an appropriate cone, we discuss the existence and uniqueness of positive almost periodic solution to this model. Four cases are classified based on parameters of the concerned model. The main results provided in the paper are more general than that of some previously known results, which are extended and complemented. Two particular examples are provided to illustrate that the obtained results, which are reasonable.

MSC:

39A24 Almost periodic solutions of difference equations
37N25 Dynamical systems in biology
92B05 General biology and biomathematics
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