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

Paper:

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

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

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 May. 26, 2017