The Sooner Strict Public Health Strategies are Applied the Lower the Peak of the Epidemic: the SARS-CoV-2 Case
DOI:
https://doi.org/10.5540/tcam.2023.024.03.00575Keywords:
SARS-CoV-2, COVID-19, Epidemic Model, Public health strategies, Parameter estimationAbstract
An epidemiological model is proposed to analyze the COVID-19 epidemics when control interventions are being applied to reduce the speed of the disease. The analyzed model includes parameters that describe control strategies such as behavioral changes of susceptible individuals to reduce the transmission of the disease, rates of diagnosis of the infectious individuals, and other control measures as cleaning and disinfection of contaminated environments. The proposed model is calibrated using Bayesian statistics and the official cumulative confirmed cases for
COVID-19 in Mexico. We show which public health strategies contribute the most to the variation of $R_0$. A central result is the fact that the peak of the epidemics can drastically be changed depending on the time when the control strategies are introduced.
References
Organization W. H., Coronavirus disease 2019 (covid 19) situation report: 51, 2020.
Center for disease control and prevention, https://www.cdc.gov/coronavirus/2019-ncov/prevent-getting-sick/how-covidspreads.html
Robert V., Okell L., Dorigatti I., Winskill P., Whittaker C., Natsuko I, Estimates of the severity of coronavirus disease 2019: a model-based analysis, The Lancet infectious diseases:2020: 39–56. DOI:https://doi.org/10.1016/S1473-3099(20)30243-7
Tian H., et al., An investigation of transmission control measures during the first 50 days of the COVID-19 epidemic in China. Science, 368(6491), (2020), 38-642.
Organization W. H., Water, sanitation, hygiene, and waste management
for the COVID-19 virus, Interim guidance, 38-642, (2020). WHO/2019-
nCoV/IPC_WASH/2020.3
Jia J., Ding K, Liu S., Liao G., Li J., Duan B,. Wang G. and Zhang R., Modeling the control of covid-19: Impact of policy interventions and meteorological factors. arXiv prepint arXiv:2003.02985, (2020).
Nadim S. S., Ghosh I. and Chattopadhyay J., Short-term predictions and prevention strategies for covid-19: A model based study. arXiv prepint
arXiv:2003.08150, (2020).
Teslya A., Pham T., Godijk N., Kretzschmar M., Bootsma M. C. and Rozhnova G., Impact of self-imposed prevention measures and short-term government intervention on mitigating and delaying a covid-19 epidemic. medRxiv, (2020).
Yang C. and Wang J. A mathematical model for the novel coronavirus epidemic in Wuhan, China, Mathematical biosciences and engineering, 17(3), 2708-?2724, (2020).
Liu Y., Gayle A. A., Wilder-Smith A. and Rocklov J., The reproductive number of covid-19 is higher compared to sars coronavirus. Journal of travel medicine, (2020).
Hethcote H., Zhien M. and Shengbing, Effects of quarantine en six epidemic models for infectious diseases. Mathematical biosciences, 180, (2002), 141-160.
Diekmann O., Heesterbeek J. A. P. and Metz J. A. On the definition and the computation of the basic reproduction ratio R0 in models for infectious diseases in heterogeneous populations. Journal of mathematical biology, 28(4), 365-382, (1990).
Van den Driessche P. and Watmough J., Reproduction numbers and subthreshold endemic equilibria for compartmental models of disease transmission, Mathematical biosciences, 180(1-2), 29-48, (2002).
of Health S, Aviso epidemiológico: casos de infección respiratoria asociados a nuevo-coronavirus-2019-ncov. urlhttps:www.gob.mx/salud/es.
Saldaña F., Flores-Arguedas H., Camacho A., Barradas I, Modeling the transmission dynamics and the impact of the control interventions for the COVID-19 epidemic outbreak. Mathematical Biosciences and Engineering, 17(4), 4165–4183, (2020).
Feng Z. et al. A mathematical model for coupling within-host and between-host dynamics in an environmentally-driven infectious disease. Math. Biosci.,(2012). doi.org/10.1016/j.mbs.2012.09.004
Christen J. A. and Fox C. et al. A general purpose sampling algorithm for continuous distribution (the t-walk). Bayesian Analysis, 5(2), 263–281, (2010).
Backer, J. A., Klinkenberg, D., andWallinga, J., Incubation period of 2019 novel coronavirus (2019-ncov) infections among travellers from wuhan, china, 20-28 january 2020. Eurosurveillance, 25(5), (2020).
Tang B., Wang X., Li Q., Bragazzi N. L., Tang S., Xiao Y., Wu J. Estimation
of the Transmission Risk of the 2019-nCoV and Its Implication for
Public Health Interventions. Journal of Clinical Medicine, 9(462), (2020),
doi:10.3390/jcm9020462
Kampf G., Tpdt D., Pfaender S. and Steinmann E., Persistence of coronavirus
on inanimate surfaces and its inactivation with biocidal agents. Journal of Hospital
Infection, (2020).
Saldaña F., and Barradas I., The role of behavioral changes prompt treatment
in the control of STIs. Infectious disease modelling, 4, 1-10, 2019.
Saltelli A., Tarantola S., Campolongo F. and Ratto M., Sensitivity analysis in practice: A guide to assessing scientific models. John Wiley & Sons, (2002).
Saltelly A., Tarantola S. and Chang K. S. , A quantitative model-independent method for global sensitivity analysis of model output. Technometrics, 41(1), 39–56, (1999).
El Financiero, Al 10% de los casos sospechosos de COVID-19 con sintomas leves se les aplica prueba, Imss, 2020
Available from: https://www.elfinanciero.com.mx/nacional/al–10–de–loscasossospechosos–de–covid-19–con–sintomas–leves–se–les–aplica–prueba–imss.
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