DOI: 10.24193/fpt-ro.2020.1.17

Authors: Fanchao Kong

Abstract: This paper is mainly concerned with a generalized hematopoiesis model with harvesting terms and impulses. Based on the contraction mapping principle and generalized Gronwall-Bellmain inequality, the new results on the existence, uniqueness and globally exponential stability of the positive piecewise pseudo almost periodic solutions of the addressed model are established. Some corresponding results in the literature can be complemented and extended. In addition, an example is given to illustrate the effectiveness of the new obtained results.

Key Words and Phrases: Positive piecewise pseudo almost periodic solution, hematopoiesis model, harvesting term, impulses, contraction mapping principle, generalized Gronwall-Bellmain inequality.

2010 Mathematics Subject Classification: 34C27, 92H10, 47H10.

Published on-line: February 1st, 2020.

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