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arXiv · 1501.05888

On the existence and exponential attractivity of a unique positive almost periodic solution to an impulsive hematopoiesis model with delays

Trinh Tuan Anh·Tran Van Nhung·Le Van Hien
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Abstract

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.

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Trinh Tuan Anh, Tran Van Nhung, Le Van Hien. 2015-01-23. On the existence and exponential attractivity of a unique positive almost periodic solution to an impulsive hematopoiesis model with delays. https://doi.org/10.1007/s40306-015-0149-5

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