淡江大學機構典藏:Item 987654321/110116
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    题名: Traveling wave solutions for a discrete diffusive epidemic model
    作者: Fu, Sheng-Chen;Guo, Jong-Shenq;Wu, Chin-Chin
    日期: 2015-11-16
    上传时间: 2017-03-24 02:11:23 (UTC+8)
    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, to appear
    显示于类别:[數學學系暨研究所] 會議論文

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