JACIII Vol.21 No.2 pp. 278-283
doi: 10.20965/jaciii.2017.p0278


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

Feng Liu*,†, Xiang Yin*, Zhe Zhang*, and Fenglan Sun**

*School of Automation, China University of Geosciences
No.388 Lumo Road, Wuhan 430074, China
**Research Center of System Theory and Application, Chongqing University of Posts and Telecommunications
No.2 Chongwen Road, Nanan District, Chongqing 400065, China
Corresponding author

July 7, 2016
November 10, 2016
Online released:
March 15, 2017
March 20, 2017
stability, genetic network, Neimark-Sacker bifurcation, delay

This paper investigates a genetic model with delay. The stability, direction, and bifurcation periodic solution is derived by using the center manifold theorem and normal form theory. Numerical simulations illustrate the theoretical results.

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Last updated on Mar. 28, 2017