Transmission dynamics of COVID-19 in Algeria: The impact of physical distancing and face masks

被引:8
作者
Moussaoui, Ali [1 ]
Zerga, El Hadi [1 ]
机构
[1] Univ Tlemcen, Dept Math, Lab Anal Non Lineaire & Math Appl, Tilimsen, Algeria
关键词
COVID-19; SIR compartmental model; basic reproduction number; mask protection; social distancing;
D O I
10.3934/publichealth.2020063
中图分类号
R19 [保健组织与事业(卫生事业管理)];
学科分类号
摘要
We propose an SIR epidemic model taking into account prevention measures against coronavirus disease 2019 (COVID-19) such as wearing masks and respecting safety distances. We look for the conditions to avoid a second epidemic peak in the phase of release from confinement. We derive equations for the critical levels of mask efficiency, mask adoption (fraction of population wearing masks) and fraction of population engaging in physical distancing that lower the basic reproduction number R-0 to unity. Conclusions: For R-0 = 2.5, if at least 40% of people wear masks with efficiency 50%, and at least 20% of the population without masks (or anti-maskers) respect physical distancing measures, the effective reproduction number can be reduced to less than 1 and COVID-19 infections would plummet. The model predicts also that if at least half of the people respecting physical distancing, COVID-19 outbreaks with R-0 of about 3, would be theoretically extinguished without wearing masks. The results of this study provide an alternative explanation for the spread of the disease, and suggest some valuable policy recommendations about the control strategies applied to mitigate disease transmission.
引用
收藏
页码:816 / 827
页数:12
相关论文
共 15 条
[1]  
Auger P, 2020, THRESHOLD RELEASE CO
[2]  
Brauer F., 2012, Mathematical Models in Population Biology and Epidemiology
[3]   Physical distancing, face masks, and eye protection to prevent person-to-person transmission of SARS-CoV-2 and COVID-19: a systematic review and meta-analysis [J].
Chu, Derek K. ;
Akl, Elie A. ;
Duda, Stephanie ;
Solo, Karla ;
Yaacoub, Sally ;
Schunemann, Holger J. .
LANCET, 2020, 395 (10242) :1973-1987
[4]   Spreading of infections on random graphs: A percolation-type model for COVID-19 [J].
Croccolo, Fabrizio ;
Roman, H. Eduardo .
CHAOS SOLITONS & FRACTALS, 2020, 139
[5]  
Diekmann O., 2000, Mathematical epidemiology of infectious diseases: Model building, analysis and interpretation, VVolume 5
[6]  
Howard JR, 2020, SUNY Series Afr Amer, P1
[7]   Contribution to the mathematical theory of epidemics [J].
Kermack, WO ;
McKendrick, AG .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-CONTAINING PAPERS OF A MATHEMATICAL AND PHYSICAL CHARACTER, 1927, 115 (772) :700-721
[8]  
Khan M.U.G., 2020, EFFECT LOCKDOWN SPRE
[9]  
Kot AD, 2020, CRITICAL LEVELS MASK, DOI [10.1101/2020.05.09.20096644v2, DOI 10.1101/2020.05.09.20096644V2]
[10]   Possible effects of mixed prevention strategy for COVID-19 epidemic: massive testing, quarantine and social distancing [J].
Kuniya, Toshikazu ;
Inaba, Hisashi .
AIMS PUBLIC HEALTH, 2020, 7 (03) :490-503