Stability and Hopf Bifurcation Analysis of a Gene Expression Model with Diffusion and Time Delay

We 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 manifo...

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Bibliographic Details
Main Authors: Yahong Peng, Tonghua Zhang
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/738682
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