论文信息 - Stability and Neimark-Sacker Bifurcation Analysis in a Genetic Network with Delay - 字舞流文

Stability and Neimark-Sacker Bifurcation Analysis in a Genetic Network with Delay

Feng Liu | Zhe Zhang | Xiang Yin | Fenglan Sun

[1] Jinde Cao,et al. Genetic oscillation deduced from Hopf bifurcation in a genetic regulatory network with delays. , 2008, Mathematical biosciences.

[2] Shouming Zhong,et al. Stochastic stability analysis of uncertain genetic regulatory networks with mixed time-varying delays , 2012, Neurocomputing.

[3] Mingzhu Liu,et al. Hopf bifurcation in numerical approximation of a class delay differential equations , 2003, Appl. Math. Comput..

[4] K. Aihara,et al. Stability of genetic regulatory networks with time delay , 2002 .

[5] S. Niculescu. Delay Effects on Stability: A Robust Control Approach , 2001 .

[6] D. A. Baxter,et al. Modeling transcriptional control in gene networks—methods, recent results, and future directions , 2000, Bulletin of mathematical biology.

[7] Fang-Xiang Wu,et al. Global and Robust Stability Analysis of Genetic Regulatory Networks With Time-Varying Delays and Parameter Uncertainties , 2011, IEEE Transactions on Biomedical Circuits and Systems.

[8] Jack K. Hale,et al. Introduction to Functional Differential Equations , 1993, Applied Mathematical Sciences.