Summary
International Symposium on Nonlinear Theory and Its Applications
2015
Session Number:B3L-C
Session:
Number:B3L-C-5
Hybrid Control of Hopf Bifurcation in a Single-Gene Expression Model with Small RNAs and Delays
Gang Chen, Min Xiao, Youhong Wan,
pp.578-581
Publication Date:2015/12/1
Online ISSN:2188-5079
Summary:
In this paper, we study the bifurcation and bifurcation control of a single-gene expression model mediated by small RNAs (sRNAs) with two delays. We first show the effect of sRNAs on the stability and bifurcation of the single-gene expression model. Then we control the Hopf bifurcation by using a hybrid control strategy. Under the control, the onset of the critical value of the undesirable Hopf bifurcation is postponed, and thus the model can remain stable for a larger delay. Finally, we verify the correctness of the theoretical results through the numerical simulations.