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分数阶时滞HSC模型的分支研究

乔宗敏

安徽大学学报(自然科学版)2024,Vol.48Issue(6):14-20,7.
安徽大学学报(自然科学版)2024,Vol.48Issue(6):14-20,7.DOI:10.3969/j.issn.1000-2162.2024.06.003

分数阶时滞HSC模型的分支研究

Bifurcation study on fractional order HSC delayed model

乔宗敏1

作者信息

  • 1. 合肥师范学院数学与统计学院,安徽 合肥 230601
  • 折叠

摘要

Abstract

In this paper,a class of HSC(haematopoietic stem cells)model with fractional time delay was studied.Taking the time delay in the system as the bifurcation parameter,the existence conditions of Hopf bifurcation of HSC model with fractional time delay were obtained by using the bifurcation theory of fractional differential equations,the results showed that the time delay and fractional derivatives had important effects on the stability and Hopf bifurcation of the system,and the numerical simulation results verified the effectiveness of the results obtained in this paper.

关键词

分数阶导数/分支/时滞

Key words

fractional derivative/bifurcation/time delay

分类

信息技术与安全科学

引用本文复制引用

乔宗敏..分数阶时滞HSC模型的分支研究[J].安徽大学学报(自然科学版),2024,48(6):14-20,7.

基金项目

合肥师范学院省级科研平台专项(2022KJZD09) (2022KJZD09)

安徽大学学报(自然科学版)

OA北大核心CSTPCD

1000-2162

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