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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