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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/738682 |
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| _version_ | 1832563613356785664 |
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| author | Yahong Peng Tonghua Zhang |
| author_facet | Yahong Peng Tonghua Zhang |
| author_sort | Yahong Peng |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-0a881e13e45a4986b54dee8e022d9653 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0a881e13e45a4986b54dee8e022d96532025-02-03T01:13:02ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/738682738682Stability and Hopf Bifurcation Analysis of a Gene Expression Model with Diffusion and Time DelayYahong Peng0Tonghua Zhang1Department of Mathematics, Donghua University, Shanghai 200051, ChinaDepartment of Mathematics, Swinburne University of Technology, Melbourne, VIC 3122, AustraliaWe 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.http://dx.doi.org/10.1155/2014/738682 |
| spellingShingle | Yahong Peng Tonghua Zhang Stability and Hopf Bifurcation Analysis of a Gene Expression Model with Diffusion and Time Delay Abstract and Applied Analysis |
| title | Stability and Hopf Bifurcation Analysis of a Gene Expression Model with Diffusion and Time Delay |
| title_full | Stability and Hopf Bifurcation Analysis of a Gene Expression Model with Diffusion and Time Delay |
| title_fullStr | Stability and Hopf Bifurcation Analysis of a Gene Expression Model with Diffusion and Time Delay |
| title_full_unstemmed | Stability and Hopf Bifurcation Analysis of a Gene Expression Model with Diffusion and Time Delay |
| title_short | Stability and Hopf Bifurcation Analysis of a Gene Expression Model with Diffusion and Time Delay |
| title_sort | stability and hopf bifurcation analysis of a gene expression model with diffusion and time delay |
| url | http://dx.doi.org/10.1155/2014/738682 |
| work_keys_str_mv | AT yahongpeng stabilityandhopfbifurcationanalysisofageneexpressionmodelwithdiffusionandtimedelay AT tonghuazhang stabilityandhopfbifurcationanalysisofageneexpressionmodelwithdiffusionandtimedelay |