File | |
language |
eng
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Author |
Yan, Yan
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Description | A discrete model describing the increase and decrease of blood cells is considered in this
paper. This hematopoiesis model is a discretization of a delay differential equation with unimodal production function whose coefficients and delay are periodic discrete functions with ω-period. This paper is concerned with the existence of positive ω-periodic solutions. Our results are proved by using the well-known continuation theorem of coincidence degree theory. The existence range of the positive ω-periodic solutions is also clarified. A concrete example and its simulation are also given to illustrate our result. Finally, we examine how positive numbers and coefficients making up our model influence the upper and lower limits of blood cell counts. |
Subject | Discrete hematopoiesis model
Unimodal production function
Positive periodic solutions
Existence Region
Continuation theorem
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Journal Title |
Applied Mathematical Modelling
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Volume | 68
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Start Page | 152
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End Page | 168
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ISSN | 0307-904X
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Published Date | 2019-04
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DOI | |
Publisher | Elsevier
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NII Type |
Journal Article
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Format |
PDF
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Text Version |
著者版
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OAI-PMH Set |
Faculty of Science and Engineering
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