Existence and uniqueness of almost periodic solutions to discrete mixed monotone hematopoiesis model

Abstract

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. KEYWORDS almost periodic solution, cone, discrete hematopoiesis model, mixed monotone operator MSC CLASSIFICATION 34C27; 34K14; 39A29 Math Meth Appl Sci. 2019;42:7471-7481. wileyonlinelibrary.com/journal/mma