Title :
Hopf bifurcation analysis for a model of RNA silencing with two delays
Author :
Tingting Yu ; Xian Zhang ; Guodong Zhang ; Min Su
Author_Institution :
Sch. of Math. Sci., Heilongjiang Univ., Harbin, China
fDate :
May 31 2014-June 2 2014
Abstract :
In this paper, a four-dimension genetic regulatory network model with two time delays is considered. Firstly, the existence of Hopf bifurcation is considered. Then, by using the normal form method and center manifold theory, the explicit formulas are derived to determine the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions. Finally, one numerical example is exploited to support the theoretical analysis of the research.
Keywords :
RNA; bifurcation; biocontrol; delays; genetics; stability; Hopf bifurcation analysis; RNA silencing model; bifurcating periodic solutions; center manifold theory; explicit formulas; four-dimension genetic regulatory network model; normal form method; stability; time delays; Bifurcation; Delay effects; Manifolds; Mathematical model; Numerical stability; RNA; Stability analysis; Hopf bifurcation; RNA silencing; delay differential equations; stability;
Conference_Titel :
Control and Decision Conference (2014 CCDC), The 26th Chinese
Conference_Location :
Changsha
Print_ISBN :
978-1-4799-3707-3
DOI :
10.1109/CCDC.2014.6852720
