Abstract
In this paper, we study how stability properties of solutions to general reaction-diffusion systems are related to the diffusion coefficients, response rate, and spatial inhomogeneity. In particular, all eigenvalues of steady states to general shadow systems are completely determined, and some consequences are discussed.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 259-274 |
| Number of pages | 16 |
| Journal | Discrete and Continuous Dynamical Systems |
| Volume | 20 |
| Issue number | 2 |
| DOIs | |
| State | Published - Feb 2008 |
Keywords
- Instability
- Reaction-diffusion equations
- Response rate
- Shadow systems
- Spatial inhomogeneity