OSCILLATORY DYNAMICS INDUCED BY MULTI-DELAYS IN GENE EXPRESSION

Qi Wang, Bo Liu and Shiwei Yan ()
Additional contact information
Qi Wang: College of Nuclear Science and Technology, Beijing Normal University, Beijing 100875, China
Bo Liu: College of Nuclear Science and Technology, Beijing Normal University, Beijing 100875, China
Shiwei Yan: College of Nuclear Science and Technology, Beijing Normal University, Beijing 100875, China;

Advances in Complex Systems (ACS), 2011, vol. 14, issue 03, 451-469

Abstract: We discuss the existence of Hopf bifurcation, the dynamical stability breaking of the molecular concentrations of two generic biochemical reaction systems and their sensitivity to the changes of the parameters incorporated in the model equations. It is found that the oscillatory dynamics can be expected for the systems due to the inclusion of time delays. The chaotic dynamics and the periodic windows in the chaotic domains can exist in the case of the system with two time delays. The proposed mathematical method may have the significance in the problems where the negative and/or positive feedback dynamics, as well as the time delays have the characteristic physical and biological background.

Keywords: Multi-delays; Hopf bifurcation; oscillatory dynamics; stability (search for similar items in EconPapers)
Date: 2011
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0219525911003086
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:acsxxx:v:14:y:2011:i:03:n:s0219525911003086

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0219525911003086

Access Statistics for this article

Advances in Complex Systems (ACS) is currently edited by Frank Schweitzer

More articles in Advances in Complex Systems (ACS) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().