A Spatial-Temporal Model for the Evolution of the COVID-19 Pandemic in Spain Including Mobility

被引:27
作者
Arandiga, Francesc [1 ]
Baeza, Antonio [1 ]
Cordero-Carrion, Isabel [1 ]
Donat, Rosa [1 ]
Marti, M. Carmen [1 ]
Mulet, Pep [1 ]
Yanez, Dionisio F. [1 ]
机构
[1] Univ Valencia, Dept Matemat, Ave Vicent Andres Estelles, E-46100 Burjassot, Spain
关键词
spatial-temporal SAIR model; mobility; outbreak spread; COVID-19; epidemic model; lockdown;
D O I
10.3390/math8101677
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this work, a model for the simulation of infectious disease outbreaks including mobility data is presented. The model is based on the SAIR compartmental model and includes mobility data terms that model the flow of people between different regions. The aim of the model is to analyze the influence of mobility on the evolution of a disease after a lockdown period and to study the appearance of small epidemic outbreaks due to the so-called imported cases. We apply the model to the simulation of the COVID-19 in the various areas of Spain, for which the authorities made available mobility data based on the position of cell phones. We also introduce a method for the estimation of incomplete mobility data. Some numerical experiments show the importance of data completion and indicate that the model is able to qualitatively simulate the spread tendencies of small outbreaks. This work was motivated by an open call made to the mathematical community in Spain to help predict the spread of the epidemic.
引用
收藏
页码:1 / 19
页数:19
相关论文
共 30 条
[1]  
Alleman T.W., 2020, DETERMINISTIC AGE ST, DOI [10.1101/2020.07.17.20156034, DOI 10.1101/2020.07.17.20156034]
[2]  
Allen Linda J S, 2017, Infect Dis Model, V2, P128, DOI 10.1016/j.idm.2017.03.001
[3]   Accounting for symptomatic and asymptomatic in a SEIR-type model of COVID-19 [J].
Arcede, Jayrold P. ;
Caga-Anan, Randy L. ;
Mentuda, Cheryl Q. ;
Mammeri, Youcef .
MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2020, 15
[4]  
Arenas A., 2020, medRxiv
[5]   Accurate closed-form solution of the SIR epidemic model [J].
Barlow, Nathaniel S. ;
Weinstein, Steven J. .
PHYSICA D-NONLINEAR PHENOMENA, 2020, 408
[6]  
Brauer F., 2011, Texts in Applied Mathematics
[7]   MODELLING THE SPATIAL-TEMPORAL PROGRESSION OF THE 2009 A/H1N1 INFLUENZA PANDEMIC IN CHILE [J].
Buerger, Raimund ;
Chowell, Gerardo ;
Mulet, Pep ;
Villada, Luis M. .
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2016, 13 (01) :43-65
[8]  
Chowell Gerardo, 2017, Infect Dis Model, V2, P379, DOI 10.1016/j.idm.2017.08.001
[9]   Covid-19: four fifths of cases are asymptomatic, China figures indicate [J].
Day, Michael .
BMJ-BRITISH MEDICAL JOURNAL, 2020, 369 :m1375
[10]  
Diekmann O, 2013, PRINCETON SERIES THE, DOI DOI 10.1002/AJHB.22436