Stability and Hopf Bifurcation Analysis of a Gene Expression Model with Diffusion and Time Delay
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posted on 2024-07-09, 16:58 authored by Yahong Peng, Tonghua ZhangTonghua ZhangWe consider a model for gene expression with one or two time delays and diffusion. The local stability and delay-induced Hopf bifurcation are investigated. We also derive the formulas determining the direction and the stability of Hopf bifurcations by calculating the normal form on the center manifold.
Funding
National Natural Science Foundation of China
China Scholarship Council
Science and Technology Commission of Shanghai Municipality
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1085-3375Journal title
Abstract and Applied AnalysisVolume
2014Article number
article no. 738682Pagination
1-9Publisher
HindawiCopyright statement
Copyright © 2014 Yahong Peng and Tonghua Zhang. This an open access article distributed under the Creative Commons Attribution License 3.0 Unported (CC BY 3.0 - https://creativecommons.org/licenses/by/3.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.Language
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