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

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  • Yahong Peng
  • Tonghua Zhang

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.

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  • Yahong Peng & Tonghua Zhang, 2014. "Stability and Hopf Bifurcation Analysis of a Gene Expression Model with Diffusion and Time Delay," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, April.
    • Handle: RePEc:hin:jnlaaa:738682
    DOI: 10.1155/2014/738682
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    Cited by:

    1. Zhang, Bei & Xia, Yonghui & Zhu, Wenjing & Bai, Yuzhen, 2019. "Explicit exact traveling wave solutions and bifurcations of the generalized combined double sinh–cosh-Gordon equation," Applied Mathematics and Computation, Elsevier, vol. 363(C), pages 1-1.

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