Periodic Oscillations in the Quorum-Sensing System with Time Delay

Chen, M; Ji, J; Liu, H; Yan, F

Periodic Oscillations in the Quorum-Sensing System with Time Delay

Chen, M Ji, J

Liu, H Yan, F

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Publisher:: WORLD SCIENTIFIC PUBL CO PTE LTD
Publication Type:: Journal Article
Citation:: International Journal of Bifurcation and Chaos, 2020, 30, (9)
Issue Date:: 2020-07-01

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Field	Value	Language
dc.contributor.author	Chen, M
dc.contributor.author	Ji, J https://orcid.org/0000-0003-3280-5463
dc.contributor.author	Liu, H
dc.contributor.author	Yan, F
dc.date.accessioned	2021-06-03T06:29:04Z
dc.date.available	2021-06-03T06:29:04Z
dc.date.issued	2020-07-01
dc.identifier.citation	International Journal of Bifurcation and Chaos, 2020, 30, (9)
dc.identifier.issn	0218-1274
dc.identifier.issn	1793-6551
dc.identifier.uri	http://hdl.handle.net/10453/149393
dc.description.abstract	The main aim of this paper is to study the oscillatory behaviors of gene expression networks in quorum-sensing system with time delay. The stability of the unique positive equilibrium and the existence of Hopf bifurcation are investigated by choosing the time delay as the bifurcation parameter and by applying the bifurcation theory. The explicit criteria determining the direction of Hopf bifurcation and the stability of bifurcating periodic solutions are developed based on the normal form theory and the center manifold theorem. Numerical simulations demonstrate good agreements with the theoretical results. Results of this paper indicate that the time delay plays a crucial role in the regulation of the dynamic behaviors of quorum-sensing system.
dc.language	English
dc.publisher	WORLD SCIENTIFIC PUBL CO PTE LTD
dc.relation.ispartof	International Journal of Bifurcation and Chaos
dc.relation.isbasedon	10.1142/S0218127420501278
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0102 Applied Mathematics, 0103 Numerical and Computational Mathematics, 0913 Mechanical Engineering
dc.subject.classification	Fluids & Plasmas
dc.title	Periodic Oscillations in the Quorum-Sensing System with Time Delay
dc.type	Journal Article
utslib.citation.volume	30
utslib.for	0102 Applied Mathematics
utslib.for	0103 Numerical and Computational Mathematics
utslib.for	0913 Mechanical Engineering
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
utslib.copyright.status	closed_access	*
dc.date.updated	2021-06-03T06:29:03Z
pubs.issue	9
pubs.publication-status	Published
pubs.volume	30
utslib.citation.issue	9

Abstract:

The main aim of this paper is to study the oscillatory behaviors of gene expression networks in quorum-sensing system with time delay. The stability of the unique positive equilibrium and the existence of Hopf bifurcation are investigated by choosing the time delay as the bifurcation parameter and by applying the bifurcation theory. The explicit criteria determining the direction of Hopf bifurcation and the stability of bifurcating periodic solutions are developed based on the normal form theory and the center manifold theorem. Numerical simulations demonstrate good agreements with the theoretical results. Results of this paper indicate that the time delay plays a crucial role in the regulation of the dynamic behaviors of quorum-sensing system.

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http://hdl.handle.net/10453/149393