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言語
英語
著者
Yan, Yan 島根大学総合理工学専攻
内容記述(抄録等)
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.
主題
Discrete hematopoiesis model
Unimodal production function
Positive periodic solutions
Existence Region
Continuation theorem
掲載誌名
Applied Mathematical Modelling
68
開始ページ
152
終了ページ
168
ISSN
0307-904X
発行日
2019-04
DOI
出版者
Elsevier
資料タイプ
学術雑誌論文
ファイル形式
PDF
著者版/出版社版
著者版
部局
総合理工学部
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