New results on the existence and uniqueness of positive almost periodic solution for the generalized Mackey-Glass hematopoietic model. (English) Zbl 1523.34070
Summary: This paper is concerned with the solution of the generalized hematopoietic model with multiple variable delays and multiple exponents. By using the fixed point theorem for mixed monotone operators, we prove that the generalized Mackey-Glass hematopoietic model has a unique positive almost periodic solution, and derive various new existence and uniqueness results under weaker conditions. Then, an iterative sequence is established and shown to converge to the unique solution under various conditions. Finally, four examples are given to illustrate the application of our theoretical results.
MSC:
| 34K14 | Almost and pseudo-almost periodic solutions to functional-differential equations |
| 92C30 | Physiology (general) |
Keywords:
nonlinear hematopoietic model; delayed differential equation; positive almost periodic solution; fixed point theorem for mixed monotone operatorsReferences:
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