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Stability of a delayed periodic hematopoiesis model with nonlinear density-dependent mortality term

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成果类型:
期刊论文
作者:
Qian Wang;Nan Sun;Lian Duan*
通讯作者:
Lian Duan
作者机构:
[Qian Wang] School of Mathematics and Statistics, Changsha University of Science and Technology, Changsha, P.R. China
[Nan Sun] School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan, P.R. China
Anhui Province Engineering Laboratory for Big Data Analysis and Early Warning Technology of Coal Mine Safety, Huainan, P.R. China
[Lian Duan] School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan, P.R. China<&wdkj&>Anhui Province Engineering Laboratory for Big Data Analysis and Early Warning Technology of Coal Mine Safety, Huainan, P.R. China
通讯机构:
[Lian Duan] S
School of Mathematics and Big Data, Anhui University of Science and Technology, Huainan, P.R. China<&wdkj&>Anhui Province Engineering Laboratory for Big Data Analysis and Early Warning Technology of Coal Mine Safety, Huainan, P.R. China
语种:
英文
关键词:
Hematopoiesis model;Periodic solution;Nonlinear density-dependent mortality term;Global exponential stability
期刊:
Advances in Continuous and Discrete Models
ISSN:
2731-4235
年:
2025
卷:
2025
期:
1
页码:
1-12
基金类别:
This work was jointly supported by the Anhui Provincial Natural Science Foundation (2208085MA04), Open Research Fund of Anhui Province Engineering Laboratory for Big Data Analysis and Early Warning Technology of Coal Mine Safety (CSBD2022-ZD02), Innovation Foundation for Postgraduate of CUST (CLKYCX24076), and the Innovation Foundation for Postgraduate of AUST (2024cx2160).
机构署名:
本校为第一机构
院系归属:
数学与统计学院
摘要:
This paper proposes a periodic hematopoiesis model with a nonlinear density-dependent mortality term from the perspective of biological modeling. Employing rigorous analytical skills and Lyapunov functional approach, some new criteria are set up for the existence and global exponential stability of positive periodic solutions for the considered model. Finally, a numerical example is provided to confirm the rationality of the theoretical results. The acquired main results compl...

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