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

Yahong Peng and Tonghua Zhang

Abstract and Applied Analysis, 2014, vol. 2014, 1-9

Abstract:

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 manifold.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:738682

DOI: 10.1155/2014/738682

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