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    题名: Asymptotic behavior of solutions to a class of diffusive predator-prey systems
    作者: Ducrot, Arnaud;Guo, Jong-Shenq
    关键词: Predator–prey system;Asymptotic behavior;Persistence
    日期: 2018-06
    上传时间: 2018-09-18 12:10:31 (UTC+8)
    出版者: Springer International Publishing
    摘要: 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.
    關聯: Journal of Evolution Equations, 18, 755-775
    DOI: 10.1007/s00028-017-0418-y
    显示于类别:[數學學系暨研究所] 期刊論文

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