Abstract
Travelling waves are natural phenomena ubiquitously for reaction-diffusion systems in many scientific areas, such as in biophysics, population genetics, mathematical ecology, chemistry, chemical physics, and so on. It is pretty well understood for a diffusing Lotka-Volterra system that there exist travelling wave solutions which propagate from an equilibrium point to another one. In this paper, we prove there exists, at least, a wave front-the monotone travelling wave-with its minimal speed. © 2003 Elsevier Science Ltd. All rights reserved.
| Original language | English |
|---|---|
| Pages (from-to) | 503-524 |
| Number of pages | 22 |
| Journal | Nonlinear Analysis: Real World Applications |
| Volume | 4 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Sept 2003 |
Keywords
- Minimal speed
- Shooting argument
- Travelling waves