DocumentCode
724187
Title
Stability and hopf bifurcation of genetic regulatory networks with multiple delays
Author
Gang Chen ; Min Xiao ; Guo-Ping Jiang
Author_Institution
Coll. of Autom., Nanjing Univ. of Post & Telecommun., Nanjing, China
fYear
2015
fDate
23-25 May 2015
Firstpage
2454
Lastpage
2459
Abstract
In this paper, we study the stability for a triple-gene expression model. We choose the sum of the delays as the bifurcation parameter. The bifurcation will occur when the sum of the delays passes through a critical value. The critical value of the delays is determined. Thus the triple-gene model can remain stable when the sum of the delays is smaller than the critical value. Finally, we verify the correctness of the theoretical results through the numerical simulations.
Keywords
bifurcation; delays; genetics; stability; Hopf bifurcation; delay critical value; genetic regulatory network; stability; triple-gene expression model; Asymptotic stability; Bifurcation; Delays; Genetics; Mathematical model; Numerical stability; Stability analysis; Hopf bifurcation; Stability; Triple-gene expression model;
fLanguage
English
Publisher
ieee
Conference_Titel
Control and Decision Conference (CCDC), 2015 27th Chinese
Conference_Location
Qingdao
Print_ISBN
978-1-4799-7016-2
Type
conf
DOI
10.1109/CCDC.2015.7162333
Filename
7162333
Link To Document