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    题名: Traveling wave solutions for a discrete diffusive epidemic model
    作者: Sheng-Chen Fu;Jong-Shenq Guo;Chin-Chin Wu
    日期: 2016-09-30
    上传时间: 2016-11-25 02:10:37 (UTC+8)
    出版者: Yokohama Publishers
    摘要: 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.
    關聯: Journal of Nonlinear and Convex Analysis 17(9), p.1739-1751
    显示于类别:[數學學系暨研究所] 期刊論文

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