分数阶时滞HSC模型的分支研究  

Bifurcation study on fractional order HSC delayed model

作　　者：乔宗敏 QIAO Zongmin(Department of Mathematics,Hefei Normal University,Hefei 230601,China)

机构地区：[1]合肥师范学院数学与统计学院,安徽合肥230601

出　　处：《安徽大学学报（自然科学版）》2024年第6期14-20,共7页Journal of Anhui University(Natural Science Edition)

基　　金：合肥师范学院省级科研平台专项(2022KJZD09)。

摘　　要：论文研究一类分数阶时滞参数依赖的造血干细胞HSC(haematopoietic stem cells)模型.将系统中的时滞作为分支参数,利用分数阶时滞微分方程的分支理论,得到了分数阶时滞HSC模型的Hopf分支存在性条件,证明了时滞和分数阶导数对系统的稳定性和Hopf分支具有重要影响.通过数值仿真验证了论文所得结果的有效性.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 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]