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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/114914

    Title: Spatio-temporal oscillation for a singular predator-prey model
    Authors: Guo, Jong-Shenq;Shimojo, Masahiko
    Keywords: Singular predator–prey model;Darboux integrable;Center, Spatial-temporal oscillation
    Date: 2018-03
    Issue Date: 2018-09-18 12:10:33 (UTC+8)
    Abstract: We study an initial boundary value problem for a reaction–diffusion system arising in the study of a singular predator–prey system. Under an assumption on the growth rates, we first prove that the unique co-existence state is a center for the kinetic system. Then we prove that solutions of the diffusion system with equal diffusivity become spatially homogeneous and are subject to the kinetic part asymptotically.
    Relation: Journal of Mathematical Analysis and Applications, 459, 1-9.
    DOI: 10.1016/j.jmaa.2017.10.080
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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