Zhou, Hui Existence and uniqueness of almost periodic solutions to discrete mixed monotone hematopoiesis model. (English) Zbl 1431.39007 Math. Methods Appl. Sci. 42, No. 18, 7471-7481 (2019). 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. Cited in 2 Documents MSC: 39A24 Almost periodic solutions of difference equations 37N25 Dynamical systems in biology 92B05 General biology and biomathematics Keywords:almost periodic solution; cone; discrete hematopoiesis model; mixed monotone operator PDFBibTeX XMLCite \textit{H. Zhou}, Math. Methods Appl. Sci. 42, No. 18, 7471--7481 (2019; Zbl 1431.39007) Full Text: DOI