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http://bura.brunel.ac.uk/handle/2438/571| Title: | A nonlocal eigenvalue problem and the stability of spikes for reaction-diffusion systems with fractional reaction rates |
| Authors: | Winter, M Wei, J |
| Keywords: | Nonlocal Eigenvalue Problem, Stability,;Spike Solution, Reaction-Diffusion Systems |
| Issue Date: | 2003 |
| Publisher: | World Scientific |
| Citation: | Winter, M. and Wei, J. (2003) 'A nonlocal eigenvalue problem and the stability of spikes for reaction-diffusion systems with fractional reaction rates', International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 13(6), pp. 1529-1543. doi:10.1142/S0218127403007369. |
| Abstract: | We consider a nonlocal eigenvalue problem which arises in the study of stability of spike solutions for reaction-diffusion systems with fractional reaction rates such as the Sel'kov model, the Gray-Scott system, the hypercycle Eigen and Schuster, angiogenesis, and the generalized Gierer-Meinhardt system. We give some sufficient and explicit conditions for stability by studying the corresponding nonlocal eigenvalue problem in a new range of parameters. |
| URI: | http://bura.brunel.ac.uk/handle/2438/571 |
| DOI: | https://doi.org/10.1142/s0218127403007369 |
| Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| FullText.pdf | 196.2 kB | Adobe PDF | View/Open |
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