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    政大機構典藏 > 理學院 > 應用數學系 > 期刊論文 >  Item 140.119/80597
    Please use this identifier to cite or link to this item: http://nccur.lib.nccu.edu.tw/handle/140.119/80597


    Title: Traveling waves for a diffusive SIR model with delay
    Authors: Fu, Sheng-Chen
    符聖珍
    Contributors: 應數系
    Keywords: SIR model;Traveling wave;Time delay;Upper/lower solution;Schauder fixed point theorem
    Date: 2016-03
    Issue Date: 2016-01-15 14:22:07 (UTC+8)
    Abstract: In this paper, we study traveling waves connecting the infection-free equilibrium state and the endemic equilibrium state for a diffusive SIR model with delay and saturated incidence rate. Since this system does not enjoy the comparison principle, we will use an iteration process to construct a pair of upper and lower solutions. With the aid of the pair of upper and lower solutions, we can apply the Schauder fixed point theorem to construct a family of solutions of the truncated problems, which, via the limiting argument, can generate the traveling wave. Indeed, we show that there exists c ⁎ > 0 such that this system admits a traveling wave solution with speed c iff c ≥ c ⁎ .
    Relation: Journal of Mathematical Analysis & Applications, 435(1), 20-37
    Data Type: article
    DOI 連結: http://dx.doi.org/10.1016/j.jmaa.2015.09.069
    DOI: 10.1016/j.jmaa.2015.09.069
    Appears in Collections:[應用數學系] 期刊論文

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