Existence Of Travelling Waves With Their Minimal Speed For A Diffusing Lotka-Volterra System
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS(2003)
Abstract
Travelling waves are natural phenomena ubiquitously 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 wavewith its minimal speed. (C) 2003 Elsevier Science Ltd. All rights reserved.
MoreTranslated text
Key words
travelling waves,minimal speed,shooting argument
AI Read Science
Must-Reading Tree
Example
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
Generate MRT to find the research sequence of this paper
Chat Paper
Summary is being generated by the instructions you defined