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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/114913

    Title: Asymptotic behavior of solutions to a class of diffusive predator-prey systems
    Authors: Ducrot, Arnaud;Guo, Jong-Shenq
    Keywords: Predator–prey system;Asymptotic behavior;Persistence
    Date: 2018-06
    Issue Date: 2018-09-18 12:10:31 (UTC+8)
    Publisher: Springer International Publishing
    Abstract: We study the large time behavior of a class of diffusive predator–prey systems posed on the whole
    Euclidean space. By studying a family of similar problems with all possible spatial translations, we first
    prove the asymptotic persistence of the prey for the spatially heterogeneous case under certain assumptions on the coefficients. Then, applying this persistence theorem, we prove the convergence of the solution to the unique positive equilibrium for the spatially homogeneous case, under certain restrictions on the space dimension and the predation coefficient.
    Relation: Journal of Evolution Equations, 18, 755-775
    DOI: 10.1007/s00028-017-0418-y
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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