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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/108412

    Title: Traveling wave solutions for a discrete diffusive epidemic model
    Authors: Sheng-Chen Fu;Jong-Shenq Guo;Chin-Chin Wu
    Date: 2016-09-30
    Issue Date: 2016-11-25 02:10:37 (UTC+8)
    Publisher: Yokohama Publishers
    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 17(9), p.1739-1751
    Appears in Collections:[Graduate Institute & Department of Mathematics] Journal Article

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