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題名: | Traveling waves for a diffusive SIR model with delay | 作者: | Fu, Sheng-Chen 符聖珍 |
貢獻者: | 應數系 | 關鍵詞: | SIR model; Traveling wave; Time delay; Upper/lower solution; Schauder fixed point theorem | 日期: | 三月-2016 | 上傳時間: | 15-一月-2016 | 摘要: | 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 ⁎ . | 關聯: | Journal of Mathematical Analysis & Applications, 435(1), 20-37 | 資料類型: | article | DOI: | http://dx.doi.org/10.1016/j.jmaa.2015.09.069 |
Appears in Collections: | 期刊論文 |
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