On the existence and exponential attractivity of a unique positive almost periodic solution to an impulsive hematopoiesis model with delays
Data(s) |
01/06/2016
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Resumo |
Abstract In this paper, a generalized model of hematopoiesis with delays and impulses isconsidered. By employing the contraction mapping principle and a novel type of impulsivedelay inequality, we prove the existence of a unique positive almost periodic solution of themodel. It is also proved that, under the proposed conditions in this paper, the unique positivealmost periodic solution is globally exponentially attractive. A numerical example is givento illustrate the effectiveness of the obtained results. |
Identificador | |
Idioma(s) |
eng |
Publicador |
Springer Science + Business |
Relação |
http://dro.deakin.edu.au/eserv/DU:30075596/anh-ontheexistenceandexponential-2015.pdf http://www.dx.doi.org/10.1007/s40306-015-0149-5 http://www.dx.doi.org/10.1007/s40306-015-0149-5 http://www.dx.doi.org/10.1007/s40306-015-0149-5 |
Direitos |
2015, Springer Science + Business Media |
Palavras-Chave | #Hematopoiesis model #Almost periodic solution #Impulsive systems |
Tipo |
Journal Article |