Positive solutions for Lotka-Volterra competition system with diffusion

Yoshio Yamada

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    Positive stationary solutions of Lotka-Volterra competition system with diffusion were discussed. Sufficient conditions on the multiple existence of positive solutions were presented for two cases. The two cases were analyzed using the degree or local bifurcation theory and the theory of Dancer and Du.

    Original languageEnglish
    Pages (from-to)6085-6096
    Number of pages12
    JournalNonlinear Analysis, Theory, Methods and Applications
    Volume47
    Issue number9
    DOIs
    Publication statusPublished - 2001 Aug

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    Keywords

    • Competition model
    • Diffusion system
    • Lotka-Volterra model
    • Multiple existence
    • Positive solution

    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics
    • Mathematics(all)

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