Abstract
The spatial segregation of the populations occurs commonly in ecology. One typical way to understand this phenomenon is to consider strong competition in some species. In this paper, we shall consider multiple-species competition-diffusion models. Under the condition that some interspecies competition rates are large, we show that the segregation phenomenon occurs. Furthermore, we derive some two-phase Stefan-like problems appearing as the singular limit, which may provide some modeling interpretation for free boundary problems studied in the literature.
| Original language | English |
|---|---|
| Pages (from-to) | 6208-6232 |
| Number of pages | 25 |
| Journal | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 28 |
| Issue number | 12 |
| DOIs | |
| State | Published - Dec 2023 |
Keywords
- Spatial segregation
- free boundary problems
- reaction-diffusion systems
- singular limit
- traveling waves