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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/107195


    Title: Traveling wave solutions for a discrete diffusive epidemic model
    Authors: Fu, Sheng-Chen;Guo, Jong-Shenq;Wu, Chin-Chin
    Date: 2015-11-10
    Issue Date: 2016-08-18 13:33:58 (UTC+8)
    Abstract: We study the traveling wave solutions for a discrete diffusive
    epidemic model. The traveling wave is a mixed of front and pulse types.
    We derive the existence and non-existence of traveling wave solutions of
    this model. The proof of existence is based on constructing a suitable
    pair of upper and lower solutions and the application of Schauder’s fixed
    point theorem. By passing to the limit for a sequence of truncated
    problems, we are able to derive the existence of traveling waves by a
    delicate analysis of wave tails. Some open problems are also addressed.
    Relation: Journal of Nonlinear and Convex Analysis
    Appears in Collections:[Graduate Institute & Department of Mathematics] Proceeding

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