华中师范大学学报（自然科学版）2018，Vol.52Issue(1)：36-41,6.DOI:10.19603/j.cnki.1000-1190.2018.01.007
时滞基因调控网络的双稳定性和局部分岔
Bistability and local bifurcation of delayed gene regulatory network
摘要
Abstract
This paper investigates the bistability and local bifurcation of delayed gene regulatory network with three nodes and two feedback loops.The existence of positive equilibrium point of the network is determined.By analyzing the corresponding characteristic equation,the existence conditions of the bistability and Hopf bifurcation the network have been obtained.It shows that the network may perform bistability when the network has positive feedback loop,and Hopf bifurcation will appear when the network has negative feedback loop and the time delay passes a critical value.Numerical simulations illustrate the correctness of our theoretical results.关键词
基因调控网络/时滞/双稳定性/局部分岔Key words
gene regulatory network/time delay/bistability/local bifurcation分类
数理科学引用本文复制引用
赖强,黄建宁..时滞基因调控网络的双稳定性和局部分岔[J].华中师范大学学报（自然科学版）,2018,52(1):36-41,6.基金项目
国家自然科学基金项目(61603137) （61603137）
江西省自然科学基金项目(20171BAB212016). （20171BAB212016）
