Abstract
It is well known that a competition-diffusion system has a one-dimensional traveling front. This paper studies traveling front solutions of pyramidal shapes in a competition-diffusion system in ℝN with N≥2. By using a multi-scale method, we construct a suitable pair of a supersolution and a subsolution, and find a pyramidal traveling front solution between them.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 379-395 |
| Number of pages | 17 |
| Journal | Networks and Heterogeneous Media |
| Volume | 8 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2013 |
Keywords
- Competition-diffusion system
- Pyramidal shapes
- Traveling front