Spreading speed and traveling waves for a two-species weak competition system with free boundary

Chang-Hong Wu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

In this paper, we will focus on the spreading speed for a Lotka- Volterra type weak competition model with free boundary in one-dimensional habitat. Based on the comparison principle for free boundary problems, we provide some estimates of the spreading speed. Also, we deal with traveling wave solutions for the same model and show that there exists a traveling wave solution with monotone profile using a shooting method and the Schauder's fixed point theorem.

Original languageEnglish
Pages (from-to)2441-2455
Number of pages15
JournalDiscrete and Continuous Dynamical Systems - Series B
Volume18
Issue number9
DOIs
StatePublished - 1 Nov 2013

Keywords

  • Free boundary
  • Lotka-Volterra model
  • Spreading speed
  • Traveling wave
  • Wave speed

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