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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/106941


    Title: Dynamics of the predator-prey models on the two-patch fragmented habitat with dispersal
    Authors: KAIJEN CHENG;TING-HUI YANG;JIN-WEI YU
    Date: 2016-03-30
    Issue Date: 2016-08-15
    Publisher: Tamkang University * Department of Mathematics
    Abstract: In this work, we consider the population-dispersal dynamics for predator-prey interactions in a two-patch environment. On each fragmented patch, there is a two-species predator-prey ecological system. It is assumed that the predator species are mobile. The existence and local dynamics of boundary equilibria and interior equilibria with respect to parameters are completely classified. Moreover, global extinction results are established analytically. In particular, the phenomenon of over-exploitation is also found in these discrete patches models. Finally, some biological interpretations are discussed.
    Relation: Tamkang journal of Mathematics 47(1), p.127-141
    DOI: 10.5556/j.tkjm.47.2016.1984
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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