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.

中文翻译：

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具有非局部扩散的 SIR 流行病模型的传播速度

在本文中，我们研究了具有非局部扩散的 SIR 流行模型。我们研究具有生命动力学的案例，以便考虑易感个体的更新。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。由于缺乏 SIR 模型的比较原理，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。