空间非均匀疾病动力学的多尺度方法
A multiscale approach for spatially inhomogeneous disease dynamics
摘要：
在本文中，我们介绍了一个基于代理的流行病模型，推广了经典的SIR模型Kermack和McKendrick。我们进一步提供了一个多尺度的方法来推导一个宏观对应的平均场极限。通过多尺度方法获得的方程链进行了研究，解析以及数值。这些结果的结果提供了强有力的证据，模型的鲁棒性，并证明其适用于描述疾病的动态，特别是当涉及到流动性。
英文摘要：
In this paper we introduce an agent-based epidemiological model that generalizes the classical SIR model by Kermack and McKendrick. We further provide a multiscale approach to the derivation of a macroscopic counterpart via the mean-field limit. The chain of equations acquired via the multiscale approach are investigated, analytically as well as numerically. The outcome of these results provide strong evidence of the models' robustness and justifies their applicability in describing disease dynamics, in particularly when mobility is involved.
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