Hopf bifurcation for general hematopoiesis model with continuous and discrete time-delay and numerical analysis

doi:10.3778/j.issn.1002-8331.2010.31.039

Computer Engineering and Applications ›› 2010, Vol. 46 ›› Issue (31): 139-142.DOI: 10.3778/j.issn.1002-8331.2010.31.039

• 数据库、信号与信息处理 • Previous Articles Next Articles

Hopf bifurcation for general hematopoiesis model with continuous and discrete time-delay and numerical analysis

YANG Xiao-jing，CHEN Si-yang

College of Mathematics and Information Science，Shaanxi Normal University，Xi’an 710062，China

Received:2010-01-11 Revised:2010-05-28 Online:2010-11-01 Published:2010-11-01
Contact: YANG Xiao-jing

具有混合时滞血液模型的Hopf分支与数值分析

杨小婧，陈斯养

陕西师范大学数学与信息科学学院，西安 710062

通讯作者: 杨小婧

Abstract

Abstract: The stability and Hopf bifurcation for a general hematopoiesis model with continuous and discrete delays of interference are investigated.Sufficient conditions of absolute stability are obtained by using the theory of characteristic value.Furthermore，the conditions of the existence of Hopf bifurcation and the stability of model are given.Finally，the feasibility of the main results is shown by the numerical simulations.

Key words: delay, hopf bifurcation, stability, hematopoiesis model

摘要： 研究了一类具有混合时滞血液模型的Hopf分支问题。首先以特征值理论为基础得到了模型无条件稳定的充要条件；其次给出了Hopf分支的存在性及分支处模型平衡态稳定性的条件；最后通过数值分析验证了定理条件和结论的可实现性。

关键词: 时滞, Hopf分支, 稳定性, 血液模型

CLC Number:

O175.7

YANG Xiao-jing，CHEN Si-yang. Hopf bifurcation for general hematopoiesis model with continuous and discrete time-delay and numerical analysis[J]. Computer Engineering and Applications, 2010, 46(31): 139-142.

杨小婧，陈斯养. 具有混合时滞血液模型的Hopf分支与数值分析[J]. 计算机工程与应用, 2010, 46(31): 139-142.

[1]	CUI Zengle, QIAN Xiaodong. Research on Optimization of Information Spreading Model of Blockchain Social Network [J]. Computer Engineering and Applications, 2021, 57(7): 59-69.
[2]	TAN Leping, SONG Ping, YANG Qifeng. Financing and Pricing Decisions of Risk-Averse Dual-Channel Supply Chain [J]. Computer Engineering and Applications, 2021, 57(7): 237-250.
[3]	XU Xiaoyuan, LI Haibo, HUANG Li. Convex Optimization Analysis of Joint Delay Tail Probability of Multi-heterogeneous Files in Cloud Storage [J]. Computer Engineering and Applications, 2021, 57(5): 88-94.
[4]	LI Fuqiang, GAO Lisai, ZHENG Baozhou, GU Xiaoqing. Event-Triggered Secure Control for Networked Systems Under Deception Attacks [J]. Computer Engineering and Applications, 2021, 57(5): 264-270.
[5]	WEI Baoguo, ZHANG Yulan, ZHOU Jiaming. Feature Point Selection for Image Matching [J]. Computer Engineering and Applications, 2021, 57(3): 208-214.
[6]	XU Yangyang，LI Wei，WANG Jie. Optimization of Robot Delay Using Events and Deadline Control [J]. Computer Engineering and Applications, 2021, 57(17): 260-268.
[7]	TANG Lei, LIU Guangzhong. Application for Improved TD3 Algorithm in Obstacle Avoidance of Quad-Rotor UAV [J]. Computer Engineering and Applications, 2021, 57(11): 254-259.
[8]	WANG Jie, HUANG Lixia, ZHANG Xueying. Multi-source Location of Speech Signal Based on Improved DSB Method [J]. Computer Engineering and Applications, 2021, 57(1): 173-180.
[9]	ZHOU Bifeng, LUO Yiping. Aperiodically Intermittent Neutralization Control of Distributed Parameter Systems with Delay [J]. Computer Engineering and Applications, 2020, 56(8): 220-225.
[10]	CAO Jie, ZHANG Lijun, HOU Liang, CHEN Zuohan, ZHANG Hong. Signal Optimization Control Method for Associated Intersection Sub-Area [J]. Computer Engineering and Applications, 2020, 56(7): 273-278.
[11]	WU Bo, LIU Yi. Data Deduplication Scheme with Dynamic Ownership Management Based on RCE in Cloud Storage [J]. Computer Engineering and Applications, 2020, 56(5): 101-108.
[12]	ZHANG Hui, LI Fengle, ZHAO Haitao, SUN Yanfei, ZHU Hongbo. Wireless Backhaul Optimization Algorithm in 5G Dynamic Heterogeneous Scenarios [J]. Computer Engineering and Applications, 2020, 56(16): 62-68.
[13]	TAN Chaoqun, LIU Fei. Event-Triggered Control for Piecewise Affine System with Parameter Perturbation and Time-Delays [J]. Computer Engineering and Applications, 2020, 56(1): 232-237.
[14]	GONG Xinjie, LI Deshi. Communication Network Performance Simulation and Analysis of Wide Area Stability Control System [J]. Computer Engineering and Applications, 2019, 55(8): 66-73.
[15]	NIU Jincai, LI Maoqing, ZHANG Yanpeng. Train Operation Adjustment Based on Artificial Fish Swarm Algorithm [J]. Computer Engineering and Applications, 2019, 55(7): 259-264.

Hopf bifurcation for general hematopoiesis model with continuous and discrete time-delay and numerical analysis

具有混合时滞血液模型的Hopf分支与数值分析

PDF

Knowledge

Abstract

Cite this article

share this article

References

Related Articles 15

Recommended Articles

Metrics