Eur. Phys. J. Special Topics 227, 719–730 (2018)
https://doi.org/10.1140/epjst/e2018-700132-8

Regular Article

Monostability, bistability, periodicity and chaos in gene regulatory network

¹ School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, P.R. China
² School of Mathematics, Hefei University of Technology, Hefei 230009, P.R. China
³ Department of Basic Sciences, Nanchang University College of Science and Technology, Nanchang 330029, P.R. China
⁴ School of Electronics and Telecommunications, Hanoi University of Science and Technology, 01 Dai Co Viet, Hanoi, Vietnam
⁵ Centre for Non-Linear Dynamics, Defense University, Bishoftu, Ethiopia

^a e-mail: laiqiang87@126.com

Received: 9 December 2017
Received in final form: 27 January 2018
Published online: 19 October 2018

Abstract

This letter gives a general review on the monostability, bistability, periodicity and chaos in gene regulatory network. Some simple motifs that generate monostability, bistability, periodicity and chaos are analytically and numerically reported. Further research directions of the nonlinear dynamics of gene regulatory network are discussed.