On the existence and exponential attractivity of a unique positive almost periodic solution to an impulsive hematopoiesis model with delays. (English) Zbl 1410.34249
Summary: In this paper, a generalized model of hematopoiesis with delays and impulses is considered. By employing the contraction mapping principle and a novel type of impulsive delay inequality, we prove the existence of a unique positive almost periodic solution of the model. It is also proved that, under the proposed conditions in this paper, the unique positive almost periodic solution is globally exponentially attractive. A numerical example is given to illustrate the effectiveness of the obtained results.
MSC:
| 34K60 | Qualitative investigation and simulation of models involving functional-differential equations |
| 34K14 | Almost and pseudo-almost periodic solutions to functional-differential equations |
| 92C37 | Cell biology |
| 47N20 | Applications of operator theory to differential and integral equations |
| 34K45 | Functional-differential equations with impulses |
| 34K20 | Stability theory of functional-differential equations |
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