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A random-walk-based epidemiological model

delete2021-09-29
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OA
AI
A
Andrew Chu
G
Greg Huber
A
Aaron McGeever
B
Boris Veytsman
D
David Yllanes *
DOI:10.1038/s41598-021-98211-5delete
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摘要

摘要

En 中文
Random walkers on a two-dimensional square lattice are used to explore the spatio-temporal growth of an epidemic. We have found that a simple random-walk system generates non-trivial dynamics compared with traditional well-mixed models. Phase diagrams characterizing the long-term behaviors of the epidemics are calculated numerically. The functional dependence of the basic reproductive number R-0 on the model's defining parameters reveals the role of spatial fluctuations and leads to a novel expression for R-0. Special attention is given to simulations of inter-regional transmission of the contagion. The scaling of the epidemic with respect to space and time scales is studied in detail in the critical region, which is shown to be compatible with the directed-percolation universality class.
Keyword:
PERCOLATION
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Scientific Reports 封面图
Scientific Reports
IF:
3.9
论文数:
27.9W
被引数:
83.5W

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George Mason University
学者数:
7.7K
论文数: 7.9K
被引数: 1.0W
C
chan zuckerberg initiative (czi)
学者数:
251
论文数: 74
被引数: 0
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