Analysis of the Impact of Mask-wearing in Viral Spread: Implications for COVID-19

被引：0

作者：

Tian, Yurun ^{[1
]}

Sridhar, Anirudh ^{[2
]}

Yagan, Osman ^{[1
]}

Poor, H. Vincent ^{[2
]}

机构：

[1] Carnegie Mellon Univ, Dept Elect & Comp Engn, Pittsburgh, PA 15213 USA

[2] Princeton Univ, Dept Elect Engn, Princeton, NJ 08544 USA

来源：

2021 AMERICAN CONTROL CONFERENCE (ACC) | 2021年

基金：

美国国家科学基金会;

关键词：

BOND PERCOLATION; GRAPHS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Masks are used as part of a comprehensive strategy of measures to limit transmission and save lives during the COVID-19 pandemic. Research about the impact of mask-wearing in the COVID-19 pandemic has raised formidable interest across multiple disciplines. In this paper, we investigate the impact of mask-wearing in spreading processes over complex networks. This is done by studying a heterogeneous bond percolation process over a multi-type network model, where nodes can be one of two types (mask-wearing, and not-mask-wearing). We provide analytical results that accurately predict the expected epidemic size and probability of emergence as functions of the characteristics of the spreading process (e.g., transmission probabilities, inward and outward efficiency of the masks, etc.), the proportion of mask-wearers in the population, and the structure of the underlying contact network. In addition to the theoretical analysis, we also conduct extensive simulations on random networks. We also comment on the analogy between the mask-model studied here and the multiple-strain viral spreading model with mutations studied recently by Eletreby et al.

引用

页码：3132 / 3137

页数：6

共 21 条

[11] Respiratory virus shedding in exhaled breath and efficacy of face masks [J].

Leung, Nancy H. L. ;

Chu, Daniel K. W. ;

Shiu, Eunice Y. C. ;

Chan, Kwok-Hung ;

McDevitt, James J. ;

Hau, Benien J. P. ;

Yen, Hui-Ling ;

Li, Yuguo ;

Ip, Dennis K. M. ;

Peiris, J. S. Malik ;

Seto, Wing-Hong ;

Leung, Gabriel M. ;

Milton, Donald K. ;

Cowling, Benjamin J. .

NATURE MEDICINE, 2020, 26 (05) :676-680

[12] Distributed Algorithm for Suppressing Epidemic Spread in Networks [J].

Mai, Van Sy ;

Battou, Abdella ;

Mills, Kevin .

IEEE CONTROL SYSTEMS LETTERS, 2018, 2 (03) :555-560

[13] On the dynamics of deterministic epidemic propagation over networks [J].

Mei, Wenjun ;

Mohagheghi, Shadi ;

Zampieri, Sandro ;

Bullo, Francesco .

ANNUAL REVIEWS IN CONTROL, 2017, 44 :116-128

[14]

Meyers LA, 2007, B AM MATH SOC, V44, P63

[15] A CRITICAL-POINT FOR RANDOM GRAPHS WITH A GIVEN DEGREE SEQUENCE [J].

MOLLOY, M ;

REED, B .

RANDOM STRUCTURES & ALGORITHMS, 1995, 6 (2-3) :161-179

[16] Exact solution of site and bond percolation on small-world networks [J].

Moore, C ;

Newman, MEJ .

PHYSICAL REVIEW E, 2000, 62 (05) :7059-7064

[17]

Muncuso M, 2020, INFECT DIS MODEL, V5, P293, DOI [10.1016/j.idm.2020.04.001, DOI 10.1016/j.idm.2020.04.001]

[18] Spread of epidemic disease on networks [J].

Newman, MEJ .

PHYSICAL REVIEW E, 2002, 66 (01) :1-016128

[19]

Newman MEJ, 2001, PHYS REV E, V64, DOI [10.1103/PhysRevE.64.026118, 10.1103/PhysRevE.64.016132]

[20] Optimal Resource Allocation for Network Protection Against Spreading Processes [J].

Preciado, Victor M. ;

Zargham, Michael ;

Enyioha, Chinwendu ;

Jadbabaie, Ali ;

Pappas, George J. .

IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS, 2014, 1 (01) :99-108

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