The stability of stationary fronts for a discrete nerve axon model
We consider the stability of single-front stationary solutions to a spatially discrete reaction-diffusion equation which models front propagation in a nerve axon. The solution's stability depends on the coupling parameter, changing from stable to unstable and from unstable to stable at a co...
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| Format: | Article |
| Language: | English |
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AIMS Press
2006-10-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.113 |
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| _version_ | 1832590248431845376 |
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| author | Christopher E. Elmer |
| author_facet | Christopher E. Elmer |
| author_sort | Christopher E. Elmer |
| collection | DOAJ |
| description | We consider the stability of single-front stationary solutions to a spatially discrete reaction-diffusion equation which models front propagation in a nerve axon. The solution's stability depends on the coupling parameter, changing from stable to unstable and from unstable to stable at a countably infinite number of values of this diffusion coefficient. |
| format | Article |
| id | doaj-art-3ec4673696744907adecb8765216b277 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2006-10-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-3ec4673696744907adecb8765216b2772025-01-24T01:52:54ZengAIMS PressMathematical Biosciences and Engineering1551-00182006-10-014111312910.3934/mbe.2007.4.113The stability of stationary fronts for a discrete nerve axon modelChristopher E. Elmer0High Bridge, NJ 08829We consider the stability of single-front stationary solutions to a spatially discrete reaction-diffusion equation which models front propagation in a nerve axon. The solution's stability depends on the coupling parameter, changing from stable to unstable and from unstable to stable at a countably infinite number of values of this diffusion coefficient.https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.113bistablestabilityspatially discreteperturbation.reaction-diffusionevans function |
| spellingShingle | Christopher E. Elmer The stability of stationary fronts for a discrete nerve axon model Mathematical Biosciences and Engineering bistable stability spatially discrete perturbation. reaction-diffusion evans function |
| title | The stability of stationary fronts for a discrete nerve axon model |
| title_full | The stability of stationary fronts for a discrete nerve axon model |
| title_fullStr | The stability of stationary fronts for a discrete nerve axon model |
| title_full_unstemmed | The stability of stationary fronts for a discrete nerve axon model |
| title_short | The stability of stationary fronts for a discrete nerve axon model |
| title_sort | stability of stationary fronts for a discrete nerve axon model |
| topic | bistable stability spatially discrete perturbation. reaction-diffusion evans function |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2007.4.113 |
| work_keys_str_mv | AT christophereelmer thestabilityofstationaryfrontsforadiscretenerveaxonmodel AT christophereelmer stabilityofstationaryfrontsforadiscretenerveaxonmodel |