Effect of cross-diffusion in the diffusion prey-predator model with a protection zone II

Shanbing Li, Yoshio Yamada

    研究成果: Article

    5 引用 (Scopus)

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    In the current paper, we continue the mathematical analysis studied in Li and Wu (2017) [15] and Oeda (2011) [22], and further study the effect of cross-diffusion for the predator on the stationary problem. The existence of positive solutions is first established by the bifurcation theory. We next discuss the limiting behavior of positive solutions when the intrinsic growth rate of the predator species tends to infinity. Moreover, as the prevention coefficient tends to infinity, we obtain two shadow systems and give the complete limiting characterization of positive solutions.

    元の言語English
    ページ(範囲)971-992
    ページ数22
    ジャーナルJournal of Mathematical Analysis and Applications
    461
    発行部数1
    DOI
    出版物ステータスPublished - 2018 5 1

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    ASJC Scopus subject areas

    • Analysis
    • Applied Mathematics

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