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http://bura.brunel.ac.uk/handle/2438/563| Title: | On a Hypercycle System with Nonlinear Rate |
| Authors: | Winter, M Wei, J |
| Keywords: | Pattern Formation, Stability,;Point-Condensations, Reaction-Diffusion System, Catalytic Network, Hypercycle |
| Issue Date: | 2001 |
| Publisher: | International Press |
| Citation: | Winter, M. and Wei, J. (2001) 'On a Hypercycle System with Nonlinear Rate', Methods and Applications of Analysis, 8(2), pp. 257-278. doi:10.4310/maa.2001.v8.n2.a4. |
| Abstract: | We study an (N+1)-hypercyclical reaction-diffusion system with nonlinear reaction rate n. It is shown that there exists a critical threshold N_0 such that for N\leq N_0 the system is stable while for N> N_0 it becomes unstable. It is also shown that for large reaction rate n, N_0 remains a constant: in fact for n \geq n_0 \sim 3.35, N_0=5 and for n < n_0 \sim 3.35, N_0=4. Some more general reaction-diffusion systems of N+1 equations are also considered. |
| URI: | http://bura.brunel.ac.uk/handle/2438/563 |
| DOI: | https://doi.org/10.4310/maa.2001.v8.n2.a4 |
| Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| FullText.pdf | 246 kB | Adobe PDF | View/Open |
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