Abstract
It is shown how to construct criteria of the form f(u) f(0)K(u) which guarantee that the spreading speed c* of a reaction-diffusion equation with the reaction term f(u) is linearly determinate in the sense that c* = 2 (0). Some of these criteria improve the classical condition f(u)(0)u, and permit the presence of sharp Allee effects. Inequalities which guarantee the failure of linear determinacy are also presented.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 2267-2280 |
| Number of pages | 14 |
| Journal | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 17 |
| Issue number | 6 |
| DOIs | |
| State | Published - 2012 |
| Externally published | Yes |
Keywords
- Reaction-diffusion systems
- Spreading speed