Existence of travelling waves with their minimal speed for a diffusing Lotka-Volterra system

Ning Fei, Jack Carr

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)503-524
Number of pages22
JournalNonlinear Analysis: Real World Applications
Volume4
Issue number3
DOIs
Publication statusPublished - Sep 2003

Fingerprint

Lotka-Volterra System
Traveling Wave
Biophysics
Population Genetics
Ecology
Traveling Wave Solutions
Reaction-diffusion System
Equilibrium Point
Wave Front
Chemistry
Monotone
Physics

Keywords

  • Minimal speed
  • Shooting argument
  • Travelling waves

Cite this

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Existence of travelling waves with their minimal speed for a diffusing Lotka-Volterra system. / Fei, Ning; Carr, Jack.

In: Nonlinear Analysis: Real World Applications, Vol. 4, No. 3, 09.2003, p. 503-524.

Research output: Contribution to journalArticle

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