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 |
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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