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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/111826

    Title: The effect of time delay in a two-patch model with random dispersal
    Authors: Kang-Ling Liao and Yuan Lou
    Keywords: Delay;Patch;Hopf bifurcation;Dispersal
    Date: 2013-12-03
    Issue Date: 2017-10-25 02:10:53 (UTC+8)
    Abstract: We consider a two-patch model for a single species with dispersal and time delay. For some explicit range of dispersal rates, we show that there exists a critical value τc for the time delay τ such that the unique positive equilibrium of the system is locally asymptotically stable for τ∈[0,τc) and unstable for τ>τc.
    Relation: Bulletin of Mathematical Biology, No. 76, 335-376.
    DOI: 10.1007/s11538-013-9921-7
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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