The spreading speed of an SIR epidemic model with nonlocal dispersal
The spreading speed of an SIR epidemic model with nonlocal dispersal
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DOI：
10.3233/asy-191584
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发表时间：
2020
影响因子：
1.4
通讯作者：
Jong-Shenq Guo;Amy Ai Ling Poh;Masahiko Shimojo
中科院分区：
文献类型：
--
作者：
Jong-Shenq Guo;Amy Ai Ling Poh;Masahiko Shimojo
本文研究了一类具有非局部扩散的SIR传染病模型。我们研究的情况下，重要的动态，以便更新的易感个体考虑在内。我们描述了渐近传播速度，以估计所考虑的疾病传播的速度。由于SIR模型缺乏比较原理，我们的证明是基于对非局部标量方程相关问题的细致分析。
In this paper, we study an SIR epidemic model with nonlocal dispersal. We study the case with vital dynamics so that a renewal of the susceptible individuals is taken into account. We characterize the asymptotic spreading speed to estimate how fast the disease under consideration spreads. Due to the lack of comparison principle for the SIR model, our proof is based on a delicate analysis of related problems with nonlocal scalar equations.